27347155051874112
27,347,155,051,874,112 is an even composite number composed of five prime numbers multiplied together.
What does the number 27347155051874112 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
27347155051874112 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 27347155051874112:
26 × 33 × 72 × 133 × 435
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 13 × 43 × 43 × 43 × 43 × 43)See below for interesting mathematical facts about the number 27347155051874112 from the Numbermatics database.
Names of 27347155051874112
- Cardinal: 27347155051874112 can be written as Twenty-seven quadrillion, three hundred forty-seven trillion, one hundred fifty-five billion, fifty-one million, eight hundred seventy-four thousand, one hundred twelve.
Scientific notation
- Scientific notation: 2.7347155051874112 × 1016
Factors of 27347155051874112
Divisors of 27347155051874112
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 43 48 49 52 54 56 63 64 72 78 84 86 91 96 98 104 108 112 117 126 129 144 147 156 168 169 172 182 189 192 196 208 216 224 234 252 258 273 288 294 301 312 336 338 344 351 364 378 387 392 416 432 441 448 468 504 507 516 546 559 576 588 602 624 637 672 676 688 702 728 756 774 784 819 832 864 882 903 936 1008 1014 1032 1092 1118 1161 1176 1183 1204 1248 1274 1323 1344 1352 1376 1404 1456 1512 1521 1548 1568 1638 1677 1728 1764 1806 1849 1872 1911 2016 2028 2064 2107 2184 2197 2236 2322 2352 2366 2408 2457 2496 2548 2646 2704 2709 2752 2808 2912 3024 3042 3096 3136 3276 3354 3528 3549 3612 3698 3744 3822 3913 4032 4056 4128 4214 4368 4394 4472 4563 4644 4704 4732 4816 4914 5031 5096 5292 5408 5418 5547 5616 5733 5824 6048 6084 6192 6321 6552 6591 6708 7056 7098 7224 7267 7396 7488 7644 7826 8112 8127 8256 8281 8428 8736 8788 8944 9126 9288 9408 9464 9632 9828 10062 10192 10584 10647 10816 10836 11094 11232 11466 11739 12096 12168 12384 12642 12943 13104 13182 13416 14112 14196 14448 14534 14792 15093 15288 15379 15652 16224 16254 16562 16641 16856 17199 17472 17576 17888 18252 18576 18928 18963 19264 19656 19773 20124 20384 21168 21294 21672 21801 22188 22464 22932 23478 24037 24336 24768 24843 25284 25886 26208 26364 26832 27391 28224 28392 28896 29068 29584 30186 30576 30758 31304 31941 32448 32508 33124 33282 33712 34398 35152 35217 35776 36504 37152 37856 37926 38829 39312 39546 40248 40768 42336 42588 43344 43602 44376 45864 46137 46956 48074 48672 49686 49923 50568 50869 51772 52416 52728 53664 54782 56784 56889 57792 58136 59168 59319 60372 61152 61516 62608 63882 65016 65403 66248 66564 67424 68796 70304 70434 72111 73008 74304 74529 75712 75852 77658 78624 79092 79507 80496 82173 84672 85176 86688 87204 88752 90601 91728 92274 93912 94471 96148 97344 99372 99846 101136 101738 103544 105456 105651 107328 107653 109564 113568 113778 116272 116487 118336 118638 120744 122304 123032 125216 127764 130032 130806 132496 133128 134848 137592 138411 140608 140868 144222 146016 149058 151704 152607 155316 157248 158184 159014 160992 164346 168259 170352 173376 174408 177504 181202 183456 184548 187824 188942 192296 196209 198744 199692 202272 203476 207088 210912 211302 215306 216333 219128 223587 227136 227556 232544 232974 237276 238521 241488 246064 246519 250432 255528 260064 261612 264992 266256 271803 275184 276822 281736 283413 288444 292032 298116 303408 305214 310632 312481 316368 318028 321984 322959 328692 336518 340704 348816 349461 355008 356083 362404 366912 369096 375648 377884 384592 392418 397488 399384 404544 406952 414176 415233 421824 422604 430612 432666 438256 447174 455112 457821 465088 465948 474552 477042 482976 492128 493038 504777 511056 520128 523224 529984 532512 543606 550368 553644 556549 563472 566826 576888 596232 606816 610428 621264 624962 632736 636056 645918 648999 657384 661297 673036 681408 697632 698922 712166 715563 724808 738192 739557 751296 755768 769184 784836 794976 798768 813904 815409 828352 830466 845208 850239 861224 865332 876512 894348 910224 915642 931896 937443 949104 954084 965952 968877 984256 986076 1009554 1022112 1033591 1046448 1065024 1068249 1087212 1100736 1107288 1113098 1126944 1133652 1153776 1177813 1192464 1213632 1220856 1242528 1249924 1265472 1272112 1291836 1297998 1314768 1322594 1346072 1373463 1395264 1397844 1424332 1431126 1449616 1476384 1479114 1511536 1514331 1538368 1569672 1589952 1597536 1627808 1630818 1660932 1669647 1690416 1700478 1722448 1730664 1753024 1788696 1820448 1831284 1863792 1874886 1898208 1908168 1937754 1972152 1983891 2019108 2044224 2067182 2092896 2136498 2146689 2174424 2187367 2214576 2226196 2253888 2267304 2307552 2355626 2384928 2441712 2446227 2485056 2499848 2544224 2550717 2583672 2595996 2629536 2645188 2692144 2746926 2795688 2812329 2848664 2862252 2899232 2906631 2952768 2958228 3023072 3028662 3100773 3139344 3195072 3204747 3255616 3261636 3321864 3339294 3380832 3400956 3418801 3444896 3461328 3533439 3577392 3640896 3662568 3727584 3749772 3796416 3816336 3875508 3895843 3944304 3967782 4038216 4062253 4134364 4185792 4272996 4293378 4348848 4374734 4429152 4452392 4534608 4542993 4615104 4629079 4711252 4769856 4883424 4892454 4999696 5008941 5088448 5101434 5167344 5191992 5259072 5290376 5384288 5493852 5591376 5624658 5697328 5724504 5798464 5813262 5916456 5951673 6046144 6057324 6201546 6278688 6409494 6523272 6562101 6643728 6678588 6761664 6801912 6837602 6889792 6922656 7066878 7154784 7235137 7325136 7455168 7499544 7632672 7751016 7791686 7888608 7935564 8076432 8124506 8268728 8436987 8545992 8586756 8697696 8749468 8858304 8904784 9069216 9085986 9258158 9302319 9422504 9614241 9766848 9784908 9999392 10017882 10202868 10256403 10334688 10383984 10580752 10600317 10768576 10987704 11182752 11249316 11394656 11449008 11626524 11687529 11832912 11903346 12114648 12186759 12403092 12557376 12818988 13046544 13124202 13287456 13357176 13436683 13603824 13675204 13845312 13887237 14133756 14309568 14470274 14650272 14999088 15026823 15265344 15311569 15502032 15583372 15777216 15871128 16152864 16249012 16537456 16873974 17091984 17173512 17395392 17498936 17809568 17855019 18138432 18171972 18516316 18604638 18845008 19228482 19569816 19686303 19998784 20035764 20405736 20512806 20669376 20767968 21161504 21200634 21705411 21975408 22365504 22498632 22789312 22898016 23253048 23375058 23665824 23806692 23931607 24229296 24373518 24806184 25637976 26093088 26248404 26574912 26714352 26873366 27207648 27350408 27774474 27906957 28267512 28435771 28940548 29300544 29998176 30053646 30623138 30769209 31004064 31166744 31742256 31800951 32305728 32498024 33074912 33747948 34183968 34347024 34997872 35062587 35619136 35710038 36343944 36560277 37032632 37209276 37690016 38456964 39139632 39372606 40071528 40310049 40811472 41025612 41535936 41661711 42323008 42401268 43410822 43950816 44444413 44997264 45796032 45934707 46506096 46750116 47331648 47613384 47863214 48458592 48747036 49612368 50645959 51275952 52186176 52496808 53428704 53746732 54415296 54700816 55548948 55813914 56535024 56871542 57881096 59058909 59996352 60107292 61246276 61538418 62008128 62333488 63484512 63601902 64996048 65116233 66149824 67495896 68367936 68694048 69995744 70125174 71420076 71794821 72687888 73120554 74065264 74418552 75380032 76913928 78279264 78745212 80143056 80620098 81622944 82051224 83323422 84802536 85307313 86821644 87901632 88888826 89994528 91869414 92307627 93012192 93500232 94056781 95226768 95726428 96917184 97494072 99224736 101291918 102551904 104993616 105187761 106857408 107493464 109401632 109680831 111097896 111627828 113070048 113743084 115762192 118117818 120214584 120930147 122492552 123076836 124666976 124985133 126969024 127203804 129992096 130232466 133333239 134991792 137388096 137804121 139991488 140250348 142840152 143589642 145375776 146241108 147008443 148130528 148837104 151937877 153827856 156558528 157490424 160286112 161240196 163245888 164102448 166646844 167521249 169605072 170614626 173643288 174676879 177777652 179989056 183738828 184615254 186024384 187000464 188113562 190453536 191452856 194988144 195348699 198449472 199050397 202583836 205103808 209987232 210375522 214986928 215384463 218803264 219361662 222195792 223255656 226140096 227486168 231524384 236235636 240429168 241860294 244985104 246153672 249333952 249970266 254407608 255921939 259984192 260464932 266666478 269983584 275608242 280500696 282170343 285680304 287179284 290751552 292482216 294016886 296261056 297674208 303875754 307655712 311110891 314980848 320572224 322480392 328204896 333293688 335042498 339210144 341229252 347286576 349353758 355555304 362790441 367477656 369230508 374000928 376227124 380907072 382905712 389976288 390697398 398100794 399999717 405167672 413412363 419974464 420751044 429973856 430768926 438723324 441025329 444391584 446511312 454972336 455813631 463048768 472471272 480858336 483720588 489970208 492307344 499940532 502563747 508815216 511843878 520929864 524030637 533332956 539967168 551216484 561001392 564340686 571360608 574358568 577777369 584964432 588033772 595348416 597151191 607751508 615311424 622221782 629961696 644960784 646153389 656409792 658397467 666587376 670084996 678420288 682458504 694573152 698707516 711110608 725580882 734955312 738461016 748001856 752454248 765811424 767765817 779952576 781394796 796201588 799999434 810335344 826824726 841502088 846511029 859947712 861537852 877446648 882050658 888783168 893022624 909944672 911627262 933332673 944942544 961716672 967441176 979940416 984614688 999881064 1005127494 1017630432 1023687756 1029059101 1041859728 1048061274 1066665912 1102432968 1122002784 1128681372 1142721216 1148717136 1155554738 1169928864 1176067544 1194302382 1199999151 1215503016 1222738153 1244443564 1259923392 1289921568 1292306778 1316794934 1323075987 1333174752 1340169992 1364917008 1367440893 1389146304 1397415032 1422221216 1451161764 1469910624 1476922032 1504908496 1507691241 1531622848 1535531634 1562789592 1572091911 1592403176 1599998868 1620670688 1653649452 1683004176 1693022058 1723075704 1733332107 1754893296 1764101316 1786045248 1791453573 1819889344 1823254524 1866665346 1889885088 1911109759 1934882352 1969229376 1975192401 1999762128 2010254988 2035260864 2047375512 2058118202 2083719456 2096122548 2133331824 2177776237 2204865936 2244005568 2257362744 2297434272 2311109476 2339857728 2352135088 2388604764 2399998302 2431006032 2445476306 2488887128 2539533087 2579843136 2584613556 2633589868 2646151974 2666349504 2680339984 2729834016 2734881786 2794830064 2799998019 2844442432 2902323528 2939821248 2953844064 3009816992 3015382482 3071063268 3087177303 3125579184 3144183822 3184806352 3199997736 3241341376 3307298904 3366008352 3386044116 3446151408 3466664214 3509786592 3528202632 3582907146 3646509048 3668214459 3733330692 3779770176 3822219518 3869764704 3950384802 3969227961 3999524256 4020509976 4044441583 4094751024 4116236404 4167438912 4192245096 4266663648 4355552474 4409731872 4514725488 4523073723 4594868544 4622218952 4704270176 4716275733 4777209528 4799996604 4862012064 4890952612 4977774256 5079066174 5169227112 5199996321 5267179736 5292303948 5360679968 5374360719 5459668032 5469763572 5589660128 5599996038 5733329277 5804647056 5907688128 5925577203 6019633984 6030764964 6142126536 6174354606 6251158368 6288367644 6369612704 6399995472 6533328711 6614597808 6732016704 6772088232 6892302816 6933328428 7019573184 7056405264 7165814292 7203413707 7293018096 7336428918 7466661384 7511105797 7644439036 7739529408 7900769604 7938455922 7999048512 8041019952 8088883166 8189502048 8232472808 8384490192 8399994057 8533327296 8559167071 8711104948 8819463744 9029450976 9046147446 9244437904 9261531909 9408540352 9432551466 9554419056 9599993208 9724024128 9781905224 9955548512 10158132348 10338454224 10399992642 10534359472 10584607896 10721359936 10748721438 10939527144 11004643377 11179320256 11199992076 11466658554 11609294112 11851154406 12061529928 12133324749 12284253072 12348709212 12502316736 12576735288 12739225408 12799990944 13066657422 13229195616 13377768313 13544176464 13784605632 13866656856 14112810528 14331628584 14406827414 14586036192 14672857836 14933322768 15022211594 15288878072 15599988963 15801539208 15876911844 16082039904 16177766332 16379004096 16464945616 16768980384 16799988114 17118334142 17199987831 17422209896 17776731609 18058901952 18092294892 18488875808 18523063818 18865102932 19108838112 19199986416 19563810448 19599986133 19911097024 20316264696 20676908448 20799985284 21068718944 21169215792 21497442876 21610241121 21879054288 22009286754 22399984152 22533317391 22933317108 23218588224 23702308812 24123059856 24266649498 24568506144 24697418424 24844426867 25153470576 25599981888 25677501213 26133314844 26458391232 26755536626 27088352928 27733313712 27784595727 28225621056 28311091081 28663257168 28813654828 29172072384 29345715672 29866645536 30044423188 30577756144 31199977926 31603078416 31753823688 32164079808 32355532664 32929891232 33013930131 33537960768 33599976228 34236668284 34399975662 34844419792 35553463218 36184589784 36399974247 36977751616 37046127636 37730205864 38217676224 38399972832 39127620896 39199972266 40133304939 40632529392 41353816896 41599970568 42137437888 42338431584 42994885752 43220482242 43758108576 44018573508 44799968304 45066634782 45866634216 47404617624 48246119712 48533298996 49137012288 49394836848 49688853734 50306941152 51355002426 51599963493 52266629688 52577740579 53511073252 54176705856 55466627424 55569191454 56622182162 57326514336 57627309656 58691431344 58799958399 59733291072 60088846376 61155512288 62399955852 63206156832 63507647376 64711065328 64830723363 65859782464 66027860262 67199952456 67599952173 68473336568 68799951324 69688839584 71106926436 72369179568 72799948494 74092255272 74533280601 75460411728 76799945664 77032503639 78255241792 78399944532 80266609878 81265058784 83199941136 84676863168 84933273243 85989771504 86440964484 87516217152 88037147016 89599936608 90133269564 91733268432 93644378191 94809235248 96492239424 97066597992 98789673696 99377707468 100613882304 102710004852 103199926986 104533259376 105155481158 107022146504 109199922741 110933254848 111138382908 113244364324 114653028672 115254619312 117382862688 117599916798 120177692752 120399914817 122311024576 124799911704 126412313664 127015294752 129422130656 129661446726 132055720524 134399904912 135199904346 136946673136 137599902648 139377679168 142213852872 144738359136 145599896988 148184510544 149066561202 150920823456 154065007278 156799889064 157733221737 160533219756 162530117568 166399882272 169866546486 171979543008 172881928968 173910988069 176074294032 179199873216 180266539128 183466536864 187288756382 189618470496 194133195984 194492170089 197579347392 198755414936 202799856519 205420009704 206399853972 209066518752 210310962316 214044293008 218399845482 222276765816 223599841803 226488728648 230509238624 231097510917 234765725376 235199833596 240355385504 240799829634 249599823408 254030589504 254799819729 258844261312 259322893452 264111441048 268799809824 270399808692 273893346272 275199805296 280933134573 284427705744 289476718272 291199793976 296369021088 298133122404 301841646912 308130014556 313599778128 315466443474 321066439512 322977549271 332799764544 339733092972 343959086016 345763857936 347821976138 352148588064 360533078256 361199744451 366933073728 368044184053 374577512764 379236940992 388266391968 388984340178 397510829872 405599713038 410840019408 412799707944 418133037504 420621924632 428088586016 436799690964 444553531632 447199683606 452977457296 461018477248 462195021834 470399667192 473199665211 480710771008 481599659268 499199646816 509599639458 518645786904 521732964207 528222882096 537599619648 540799617384 547786692544 550399610592 561866269146 568855411488 582399587952 592738042176 596266244808 616260029112 627199556256 630932886948 642132879024 645955098542 670799525409 679466185944 691527715872 695643952276 704297176128 721066156512 722399488902 736088368106 749155025528 764399459187 776532783936 777968680356 795021659744 811199426076 821680038816 825599415888 841243849264 842799403719 856177172032 873599381928 889107063264 894399367212 905954914592 924390043668 940799334384 946399330422 963199318536 968932647813 998399293632 1019199278916 1037291573808 1043465928414 1056445764192 1081599234768 1100799221184 1104132552159 1123732538292 1137710822976 1164799175904 1192532489616 1217376916483 1232520058224 1254399112512 1261865773896 1284265758048 1291910197084 1341599050818 1358932371888 1383055431744 1391287904552 1419598995633 1442132313024 1444798977804 1472176736212 1498310051056 1528798918374 1555937360712 1565198892621 1590043319488 1622398852152 1643360077632 1651198831776 1682487698528 1685598807438 1747198763856 1778214126528 1788798734424 1811909829184 1848780087336 1881598668768 1892798660844 1926398637072 1937865295626 2038398557832 2074583147616 2086931856828 2112891528384 2163198469536 2208265104318 2247465076584 2260842844897 2329598351808 2385064979232 2434753832966 2465040116448 2523731547792 2528398211157 2568531516096 2583820394168 2683198101636 2717864743776 2782575809104 2839197991266 2889597955608 2906797943439 2944353472424 2996620102112 3057597836748 3111874721424 3130397785242 3244797704304 3302397663552 3312397656477 3364975397056 3371197614876 3494397527712 3577597468848 3652130749449 3697560174672 3763197337536 3785597321688 3852797274144 3875730591252 4076797115664 4149166295232 4173863713656 4326396939072 4416530208636 4494930153168 4521685689794 4695596677863 4770129958464 4869507665932 4930080232896 5047463095584 5056796422314 5167640788336 5366396203272 5435729487552 5565151618208 5678395982532 5779195911216 5813595886878 5888706944848 5993240204224 6115195673496 6223749442848 6260795570484 6489595408608 6624795312954 6742395229752 6782528534691 6988795055424 7155194937696 7304261498898 7395120349344 7571194643376 7705594548288 7751461182504 8153594231328 8347727427312 8720393830317 8833060417272 8989860306336 9043371379588 9391193355726 9739015331864 9937192969431 10094926191168 10113592844628 10335281576672 10732792406544 10956392248347 11130303236416 11356791965064 11558391822432 11627191773756 11777413889696 12230391346992 12447498885696 12521591140968 12979190817216 13249590625908 13484790459504 13565057069382 14310389875392 14608522997796 14790240698688 15142389286752 15502922365008 15825899914279 16307188462656 16695454854624 17440787660634 17666120834544 17979720612672 18086742759176 18782386711452 19478030663728 19874385938862 20227185689256 20347585604073 20670563153344 21465584813088 21912784496694 22713583930128 23116783644864 23254383547512 23554827779392 24460782693984 25043182281936 26499181251816 26969580919008 27130114138764 29217045995592 30284778573504 31005844730016 31651799828558 32869176745041 33390909709248 34881575321268 35332241669088 36173485518352 37564773422904 38956061327456 39748771877724 40454371378512 40695171208146 42931169626176 43825568993388 45427167860256 46508767095024 47477699742837 48921565387968 50086364563872 52998362503632 53939161838016 54260228277528 58434091991184 61042756812219 62011689460032 63303599657116 65738353490082 69763150642536 70664483338176 72346971036704 75129546845808 77912122654912 79497543755448 80908742757024 81390342416292 87651137986776 90854335720512 93017534190048 94955399485674 100172729127744 105996725007264 108520456555056 116868183982368 122085513624438 126607199314232 131476706980164 139526301285072 142433099228511 144693942073408 150259093691616 158995087510896 161817485514048 162780684832584 175302275973552 186035068380096 189910798971348 211993450014528 217040913110112 233736367964736 244171027248876 253214398628464 262953413960328 279052602570144 284866198457022 300518187383232 317990175021792 325561369665168 350604551947104 379821597942696 427299297685533 434081826220224 488342054497752 506428797256928 525906827920656 558105205140288 569732396914044 635980350043584 651122739330336 701209103894208 759643195885392 854598595371066 976684108995504 1012857594513856 1051813655841312 1139464793828088 1302245478660672 1519286391770784 1709197190742132 1953368217991008 2103627311682624 2278929587656176 3038572783541568 3418394381484264 3906736435982016 4557859175312352 6836788762968528 9115718350624704 13673577525937056 27347155051874112
- Sum of all divisors σ(n): 103723453436803200
- Sum of proper divisors (its aliquot sum) s(n): 76376298384929088
- 27347155051874112 is an abundant number, because the sum of its proper divisors (76376298384929088) is greater than itself. Its abundance is 49029143333054976
Bases of 27347155051874112
- Binary: 11000010010100000010111101101100111110000000111010000002
- Hexadecimal: 0x612817B67C0740
- Base-36: 7H9R9LF9LC0
Squares and roots of 27347155051874112
- 27347155051874112 squared (273471550518741122) is 747866889431243765393643495788544
- 27347155051874112 cubed (273471550518741123) is 20452031783439015878451560079402746780926459772928
-
The
square root of 27347155051874112 is 165369752.5301229687 -
The
cube root of 27347155051874112 is 301280.2878886545
Scales and comparisons
How big is 27347155051874112?- 27,347,155,051,874,112 seconds is equal to 869,554,940 years, 17 weeks, 6 days, 13 hours, 55 minutes, 12 seconds.
-
To count from 1 to 27,347,155,051,874,112 would take you about two billion, six hundred eight million, six hundred sixty-four thousand, eight hundred twenty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 27347155051874112 cubic inches would be around 25106.7 feet tall.
Recreational maths with 27347155051874112
- 27347155051874112 backwards is 21147815055174372
- 27347155051874112 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 27347155051874112's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 27347155051874112 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 27347155051874112 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/27347155051874112/
Chicago style:
Numbermatics. 2024. "Number 27347155051874112 - Facts about the integer". https://numbermatics.com/n/27347155051874112/
The information we have on file for 27347155051874112 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 27347155051874112, math, Factors of 27347155051874112, curriculum, school, college, exams, university, Prime factorization of 27347155051874112, STEM, science, technology, engineering, physics, economics, calculator, twenty-seven quadrillion, three hundred forty-seven trillion, one hundred fifty-five billion, fifty-one million, eight hundred seventy-four thousand, one hundred twelve.