46818744184212
46,818,744,184,212 is an even composite number composed of ten prime numbers multiplied together.
46818744184212 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 46818744184212:
22 × 3 × 72 × 11 × 13 × 19 × 29 × 43 × 71 × 331
(2 × 2 × 3 × 7 × 7 × 11 × 13 × 19 × 29 × 43 × 71 × 331)See below for interesting mathematical facts about the number 46818744184212 from the Numbermatics database.
Names of 46818744184212
- Cardinal: 46818744184212 can be written as Forty-six trillion, eight hundred eighteen billion, seven hundred forty-four million, one hundred eighty-four thousand, two hundred twelve.
Scientific notation
- Scientific notation: 4.6818744184212 × 1013
Factors of 46818744184212
Divisors of 46818744184212
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 11 12 13 14 19 21 22 26 28 29 33 38 39 42 43 44 49 52 57 58 66 71 76 77 78 84 86 87 91 98 114 116 129 132 133 142 143 147 154 156 172 174 182 196 203 209 213 228 231 247 258 266 273 284 286 294 301 308 319 331 348 364 377 399 406 418 426 429 462 473 494 497 516 532 539 546 551 559 572 588 602 609 627 637 638 662 741 754 781 798 812 817 836 852 858 903 923 924 931 946 957 988 993 994 1001 1078 1092 1102 1118 1131 1204 1218 1247 1254 1274 1276 1324 1349 1419 1421 1463 1482 1491 1508 1562 1596 1617 1634 1653 1677 1716 1729 1806 1846 1862 1892 1911 1914 1986 1988 2002 2059 2107 2156 2204 2233 2236 2262 2317 2343 2436 2451 2494 2508 2548 2639 2698 2717 2769 2793 2838 2842 2926 2964 2982 3003 3053 3124 3234 3268 3306 3311 3354 3458 3479 3612 3641 3692 3724 3741 3822 3828 3857 3913 3972 4004 4047 4118 4147 4214 4263 4303 4389 4466 4524 4634 4686 4902 4988 5187 5278 5396 5434 5467 5538 5586 5676 5684 5719 5852 5964 6006 6061 6106 6149 6177 6289 6321 6461 6468 6612 6622 6699 6708 6916 6951 6958 7007 7163 7282 7482 7644 7714 7826 7917 8094 8151 8236 8294 8428 8526 8606 8729 8778 8932 8987 9159 9268 9372 9443 9599 9804 9933 10153 10241 10374 10437 10556 10621 10868 10923 10934 11076 11172 11438 11571 11739 12012 12103 12122 12212 12298 12354 12441 12578 12642 12909 12922 13244 13398 13717 13902 13916 14014 14233 14326 14413 14564 14839 14964 15428 15631 15652 15834 16188 16211 16219 16302 16401 16588 17052 17157 17212 17458 17537 17556 17974 18183 18318 18447 18473 18867 18886 19019 19198 19383 19866 20306 20482 20748 20874 21021 21242 21371 21489 21846 21868 22649 22876 23142 23177 23478 23501 23693 24206 24244 24596 24708 24882 25156 25284 25487 25818 25844 26187 26767 26796 26961 26999 27391 27434 27804 28028 28329 28466 28652 28797 28826 29029 29678 30121 30459 30723 31262 31668 31863 32422 32438 32604 32802 33583 34314 34916 35074 35948 36309 36366 36636 36894 36946 37734 37772 38038 38269 38396 38766 39121 39689 39732 40033 40612 40964 41151 41748 42042 42427 42484 42699 42742 42978 43043 43239 43692 44023 44517 45227 45298 46284 46354 46893 46956 47002 47333 47386 48412 48633 48657 49764 50141 50974 51636 52374 52611 53534 53922 53998 54782 54868 55419 56658 56932 57057 57594 57652 58007 58058 59356 60242 60918 61103 61446 62524 62909 63726 64113 64844 64876 65604 66101 67166 67193 67947 68628 69179 69531 70148 70503 71071 71079 72618 72732 73788 73892 74347 75468 76076 76461 76538 77532 78242 78793 79378 80066 80301 80997 81757 82173 82302 84084 84854 85398 85484 85956 86086 86478 87087 88046 88537 89034 90363 90454 90596 92708 93786 94004 94666 94772 96019 97266 97314 99631 100282 100749 100891 101948 103873 104748 105222 105589 107068 107844 107996 109564 110838 113316 113477 114114 114807 115188 116014 116116 116831 117363 119067 120099 120484 121836 122206 122759 122892 124787 125818 127281 127452 128226 129129 132069 132202 133133 134332 134386 135681 135894 138358 139062 141006 141999 142142 142158 145236 148694 149597 150423 152922 153076 156484 156563 157586 158543 158756 160132 160602 161994 163514 164346 164507 164604 165851 169708 170796 172172 172956 174021 174174 176092 177074 178068 178321 178409 180726 180908 182381 183309 185029 187369 187572 188727 189332 192038 192907 194532 194628 198303 199262 200564 201498 201579 201782 203203 207537 207746 210444 210847 211178 213213 221676 223041 226954 228228 229614 232028 233662 234726 235081 236379 238134 240198 244412 245271 245518 249574 251636 254562 256452 258258 258511 260623 264138 264404 265611 266266 268772 270427 271362 271788 273847 276716 277823 278124 282012 283998 284284 284316 288057 294437 296989 297388 298893 299194 300846 301301 302673 305513 305844 308009 308161 311619 313126 315172 316767 317086 321204 323988 327028 328692 329014 331331 331702 340431 348042 348348 350493 350987 354148 356642 356818 361452 364762 366618 368277 370058 374361 374738 377454 384076 385814 396606 398524 399399 402996 403158 403564 406049 406406 412757 415074 415492 421694 422356 426426 430331 436579 440363 446082 446519 448791 453908 459228 467324 469452 469689 470162 470351 472758 475629 476268 480396 484253 490542 491036 493521 497497 497553 499148 508573 509124 516516 517022 520429 521246 528276 531222 532532 534963 535227 540854 542724 547143 547694 551551 555087 555646 562107 567996 572299 576114 578721 588874 593978 597786 598388 601692 602602 605346 609609 611026 616018 616322 619759 623238 626252 632541 633534 634172 638077 658028 662662 663404 672133 680862 681529 696084 697417 700986 701974 705243 713284 713636 727111 729524 733236 736554 739123 740116 748722 749476 754091 754908 771628 775533 781869 793212 794339 798798 806316 811281 812098 812812 817817 821541 825514 830148 833469 843388 852852 859313 860662 873158 873509 880726 883311 890967 892164 893038 897582 899327 903903 916539 924027 924483 939378 940324 940702 945516 951258 968506 973907 981084 987042 993993 994994 995106 1010543 1017146 1034044 1040858 1042492 1052961 1062444 1069926 1070454 1081708 1094286 1095388 1095941 1103102 1109801 1110174 1111292 1124214 1144598 1150981 1151549 1152228 1157442 1160957 1177748 1187956 1195572 1205204 1210692 1218147 1219218 1222052 1232036 1232644 1238271 1239518 1246476 1248247 1265082 1267068 1276154 1276667 1290993 1295203 1309737 1311583 1321089 1325324 1339557 1344266 1350349 1361724 1363058 1372657 1394834 1401972 1403948 1410486 1411053 1452759 1454222 1473108 1478246 1492491 1497444 1508182 1525719 1551066 1561287 1563738 1588678 1597596 1622562 1624196 1635634 1643082 1645567 1651028 1654653 1666938 1682203 1716897 1718626 1721324 1746316 1747018 1761452 1766622 1781934 1786076 1795164 1798654 1807806 1809577 1824361 1833078 1848054 1848966 1859277 1878756 1881404 1892989 1902516 1914231 1916929 1937012 1944761 1947814 1974084 1987986 1989988 1990212 2006191 2016399 2021086 2034292 2035319 2044587 2061059 2081716 2092251 2105922 2138591 2139852 2140908 2156063 2181333 2188572 2191882 2206204 2217369 2219602 2220348 2248428 2262273 2289196 2301962 2303098 2314884 2319317 2321914 2370953 2383017 2436294 2438436 2453451 2476542 2479036 2496494 2530164 2552308 2553334 2577939 2581986 2590406 2619474 2620527 2623166 2642178 2679114 2688532 2697981 2700698 2726116 2745314 2789668 2820972 2822106 2842343 2889299 2905518 2908444 2921721 2956492 2974697 2984982 3012317 3016364 3031629 3051438 3056053 3102132 3122574 3125633 3127476 3177356 3245124 3271268 3286164 3287823 3291134 3309306 3329403 3333876 3360643 3364406 3388099 3389771 3433794 3437252 3452943 3454647 3482871 3494036 3515551 3533244 3560011 3563868 3597308 3615612 3619154 3648722 3666156 3696108 3697932 3718554 3744741 3785978 3828462 3830001 3833858 3860857 3885609 3889522 3895628 3934749 3975972 4006093 4012382 4032798 4042172 4051047 4070638 4089174 4117971 4122118 4184502 4211844 4277182 4312126 4338313 4362666 4383764 4434738 4439204 4466539 4524546 4540327 4603924 4606196 4638634 4643828 4741906 4766034 4770703 4872588 4906902 4911709 4936701 4953084 4992988 5046609 5106668 5155878 5163972 5173861 5180812 5238948 5241054 5246332 5278637 5284356 5358228 5365841 5395962 5401396 5428731 5473083 5490628 5594303 5644212 5678967 5684686 5724719 5750787 5778598 5804747 5811036 5834283 5843442 5949394 5969964 6018573 6024634 6063258 6102876 6105957 6112106 6114563 6183177 6245148 6251266 6295289 6415773 6468189 6575646 6582268 6618612 6658806 6721286 6728812 6776198 6779542 6817349 6867588 6905886 6909294 6957951 6965742 7031102 7073801 7112859 7120022 7238308 7297444 7437108 7489482 7496819 7571956 7656924 7660002 7667716 7671587 7721714 7771218 7779044 7842383 7869498 8012186 8024764 8056867 8065596 8102094 8141276 8178348 8235942 8244236 8295001 8369004 8527029 8554364 8624252 8667897 8676626 8725332 8737729 8859877 8869476 8924091 8933078 8936669 9036951 9049092 9066421 9080654 9168159 9277268 9376899 9452443 9483812 9532068 9541406 9608599 9813804 9823418 9873402 10081929 10093218 10164297 10169313 10311756 10347722 10482108 10546653 10557274 10680033 10731682 10791924 10857462 10946166 11115973 11188606 11357934 11369372 11449438 11501574 11557196 11582571 11609494 11668566 11686884 11775421 11898788 12018279 12037146 12049268 12126516 12211914 12224212 12229126 12366354 12502532 12590578 12660791 12667039 12770527 12831546 12936378 12949051 13014939 13137059 13151292 13250923 13317612 13399617 13442572 13552396 13559084 13620981 13634698 13811772 13818588 13915902 13931484 14043337 14062204 14147602 14225718 14240044 14247233 14312109 14427413 14735127 14970137 14978964 14993638 15092441 15320004 15343174 15443428 15521583 15542436 15684766 15738996 15835911 16024372 16097523 16113734 16204188 16471884 16590002 16596671 16782909 17054058 17174157 17335794 17353252 17414241 17475458 17719754 17848182 17866156 17873338 18073902 18132842 18161308 18336318 18343689 18504233 18753798 18885867 18904886 19082812 19200317 19217198 19646836 19746804 20163858 20186436 20225093 20328594 20338626 20452047 20695444 20822879 21086219 21093306 21114548 21221403 21360066 21392371 21463364 21714924 21868639 21879431 21892332 22231946 22377212 22490457 22715868 22898876 23003148 23014761 23165142 23218988 23337132 23524501 23527149 23550842 23716693 24036558 24074292 24170601 24423828 24458252 24608857 24732708 24885003 24920077 25181156 25321582 25334078 25541054 25663092 25872756 25898102 26029878 26080483 26213187 26274118 26501846 26579631 26799234 26810007 27199263 27241962 27269396 27831804 28086674 28295204 28357329 28451436 28494466 28624218 28825797 28854826 29305747 29470254 29940274 29987276 30184882 30686348 31043166 31265773 31369532 31671822 31782289 32195046 32227468 33180004 33193342 33347919 33394921 33565818 34108116 34348314 34381963 34671588 34828482 34950916 35326263 35439508 35696364 35746676 36147804 36265684 36672636 36687378 36950459 37008466 37507596 37560887 37771734 37809772 37982373 38001117 38311581 38400634 38434396 38671061 38847153 39160121 39411177 39752769 40327716 40450186 40633229 40657188 40677252 40904094 41645758 42130011 42172438 42186612 42442806 42720132 42741699 42784742 43282239 43737278 43758862 44067023 44463892 44910411 44980914 45277323 46029522 46330284 47049002 47054298 47101684 47433386 47721443 48073116 48341202 49217714 49516607 49770006 49790013 49840154 50643164 50668156 51082108 51796204 52059756 52160966 52426374 52477733 52548236 53003692 53159262 53598468 53620014 54398526 54483924 54896681 55512699 56173348 56398069 56714658 56988932 57248436 57600951 57651594 57709652 58065007 58611494 58940508 59024251 59880548 60369764 60675279 62019139 62086332 62468637 62531546 63258657 63343644 63564578 63852217 64177113 64390092 65605917 65638293 66386684 66695838 66789842 67131636 67260193 68696628 68763926 69656964 70573503 70652526 71150079 73374756 73826571 73900918 74016932 74760231 75121774 75543468 75964746 76002234 76623162 76801268 77342122 77694306 77811811 78241449 78320242 78822354 79505538 80900372 81266458 81808188 82427947 83291516 84260022 84344876 84885612 85483398 85569484 86266213 86564478 87474556 87517724 87917241 88134046 88625537 89820822 89961828 90554646 90643357 91959413 92059044 93797319 94098004 94108596 94866772 95346867 95442886 96682404 97458647 98303359 98435428 99033214 99540012 99580026 99680308 99730631 100184763 101950979 103145889 104321932 104852748 104955466 106318524 107240028 108797052 109793362 110851377 111025398 112682661 112796138 113429316 115201902 115303188 116013183 116130014 116176697 117222988 117480363 118048502 121350558 121899687 124038278 124937274 125063092 126517314 127129156 127704434 128354226 129529631 131211834 131276586 132201069 133391676 133579684 134402219 134520386 137527852 141147006 141305052 142300158 142439561 143164329 144507649 145760153 147653142 147801836 148549821 149520462 150243548 151929492 152004468 153080473 153246324 154684244 155388612 155623622 156482898 156640484 157433199 157644708 159011076 162532916 164671507 164690043 164855894 166016851 168337663 168520044 169194207 170966796 172261999 172532426 173128956 174195021 175834482 176268092 177072753 177251074 179641644 181109292 181286714 182563381 183918826 186057417 187594638 190693734 190885772 191556651 194917294 196606718 198066428 199160052 199461262 200369526 201780579 203901958 205140229 206291778 209910932 211203487 219586724 221702754 222050796 222476023 225365322 225592276 230403804 232026366 232260028 232353394 233435433 234960726 236097004 240555029 240673741 242701116 243799374 247283841 248076556 249604121 249874548 253034628 255408868 256708452 258798639 259059262 262423668 262553172 262926209 264402138 265876611 268804438 269040772 270697427 271930071 274120847 275878239 282294012 284432603 284600316 284879122 286328658 289015298 291520306 292375941 294910077 295306284 297099642 299040924 299191893 305852937 306160946 311247244 312965796 314866398 322363217 329343014 329380086 329711788 332033702 336675326 338388414 344523998 345064852 348390042 348530091 351668964 354145506 354502148 362573428 365126762 367344131 367837652 372114834 375189276 380974711 381387468 383113302 384276767 388588893 389834588 393213436 398922524 400739052 403206657 403561158 406455049 407803916 410280458 412583556 413169757 422406974 427318683 433522947 434133973 437280459 443405508 444952046 446965519 450730644 459241419 464052732 464706788 466870866 469921452 481110058 481347482 487598748 494014521 494567682 498050553 499208242 505012989 516785997 517597278 518118524 525852418 528804276 531753222 537608876 541394854 543860142 544682677 547690143 548241694 551756478 556809193 568865206 569758244 572657316 578030596 583040612 584751882 589820154 594199284 598383786 603863491 611705874 612321892 615420687 620378759 629732796 633610461 634503499 643715891 644726434 658686028 658760172 664067404 667428069 673350652 676776828 682210529 689047996 696780084 697060182 708291012 713656853 721665087 722021223 730253524 734688262 744229668 748812363 761949422 766226604 768553534 777177786 788778627 806413314 807122316 812092281 812910098 820560916 822362541 826339514 844813948 853297809 854637366 867045894 868267946 874560918 889904092 893931038 906707417 918482838 933741732 940815533 962220116 962694964 967089651 988029042 989135364 996101106 997076927 998416484 1010025978 1011553543 1033571994 1035194556 1051704836 1063506444 1071563311 1082789708 1087720284 1089365354 1095380286 1096483388 1102032393 1103512956 1113618386 1121460769 1137730412 1142924133 1152830301 1169503764 1178363641 1179640308 1196767572 1207726982 1219365147 1223411748 1230841374 1239509271 1240757518 1267220922 1269006998 1277943667 1287431782 1289452868 1302401919 1334856138 1340896557 1364421058 1394120364 1427313706 1435981603 1443330174 1444042446 1469376524 1478424409 1497624726 1523898844 1537107068 1554355572 1577557254 1612826628 1624184562 1625820196 1634048031 1644725082 1652679028 1670427579 1683885203 1706595618 1709274732 1734091788 1736535892 1747228847 1749121836 1787862076 1811590473 1813414834 1836965676 1851714293 1861136277 1881631066 1894881989 1903510497 1931147673 1934179302 1976058084 1992202212 1994153854 2020051956 2023107086 2046631587 2067143988 2140970559 2143126622 2178730708 2190760572 2204064786 2227236772 2242921538 2256542519 2285848266 2305660602 2356727282 2415453964 2438730294 2461682748 2479018542 2481515036 2534441844 2538013996 2555887334 2574863564 2604803838 2666822977 2669712276 2681793114 2720122251 2728842116 2745645331 2822446599 2854627412 2871963206 2886660348 2888084892 2892188299 2956848818 2991230781 2995249452 3034660629 3128758633 3155114508 3214689933 3248369124 3268096062 3289450164 3340855158 3364382307 3367770406 3413191236 3494457694 3535090923 3623180946 3626829668 3703428586 3722272554 3763262132 3789763978 3807020994 3833831001 3862295346 3868358604 3897664351 3988307708 4046214172 4093263174 4190721821 4227044437 4281941118 4286253244 4307944809 4408129572 4435273227 4485843076 4513085038 4571696532 4611321204 4713454564 4775473703 4877460588 4958037084 4995597971 5051655609 5111774668 5209607676 5241686541 5333645954 5363586228 5440244502 5491290662 5555142879 5644893198 5684645967 5743926412 5784376598 5913697636 5982461562 6069321258 6124901123 6257517266 6429379866 6536192124 6681710316 6728764614 6735540812 6769627557 6979538489 6988915388 7070181846 7080874801 7238519509 7246361892 7406857172 7444545108 7579527956 7614041988 7667662002 7724590692 7795328702 7850225383 8000468931 8186526348 8236935993 8248545487 8381443642 8454088874 8563882236 8615889618 8676564897 8870546454 9026170076 9386275899 9550947406 9991195942 10103311218 10348970863 10483373082 10667291908 10880489004 10982581324 11110285758 11289786396 11369291934 11568753196 11692993053 11787196421 11964923124 12138642516 12230601929 12249802246 12515034532 12572165463 12681133311 12858759732 12962000051 13457529228 13539255114 13959076978 14140363692 14161749602 14326421109 14477039018 14986793913 15335324004 15590657404 15700450766 15795797633 16000937862 16473871986 16497090974 16762887284 16908177748 17231779236 17353129794 17741092908 18374703369 18667760839 18772551798 19101894812 19219517317 19982391884 20206622436 20697941726 20938615467 20966746164 21242624403 21715558527 22220571516 22738583868 23385986106 23550676149 23574392842 24461203858 24499604492 24745636461 25144330926 25362266622 25924000102 27078510228 27283650457 27918153956 28323499204 28652842218 28954078036 29335052747 29973587826 31046912589 31400901532 31591595266 32001875724 32947743972 32994181948 34706259588 35361589263 36691805787 36749406738 37335521678 37545103596 38439034634 38886000153 41395883452 41877230934 42485248806 42874307861 43431117054 46771972212 47101352298 47148785684 47387392899 48922407716 49491272922 50288661852 50669636563 50724533244 51848000204 54567300914 54951577681 56003282517 57305684436 57658551951 58670105494 59947175652 62093825178 63183190532 70723178526 73383611574 73498813476 74671043356 76878069268 77772000306 79623714599 81850951371 83754461868 84970497612 85748615722 86862234108 88005158241 90734000357 94202704596 94774785798 98982545844 101339273126 109134601828 109903155362 112006565034 115317103902 117340210988 124187650356 128622923583 134536621219 141446357052 146767223148 152008909689 155544000612 159247429198 163701902742 164854733043 171497231444 176010316482 181468000714 189549571596 202678546252 205345369229 219806310724 224013130068 230634207804 238871143797 257245847166 269073242438 272202001071 300120155027 304017819378 318494858396 327403805484 329709466086 352020632964 354687455941 362936001428 403609863657 410690738458 477742287594 514491694332 538146484876 544404002142 557366002193 600240310054 608035638756 616036107687 659418932172 709374911882 807219727314 821381476916 900360465081 955484575188 1064062367823 1088808004284 1114732004386 1200480620108 1232072215374 1418749823764 1614439454628 1672098006579 1800720930162 2128124735646 2229464008772 2464144430748 3344196013158 3601441860324 3901562015351 4256249471292 6688392026316 7803124030702 11704686046053 15606248061404 23409372092106 46818744184212
- Sum of all divisors σ(n): 169206357196800
- Sum of proper divisors (its aliquot sum) s(n): 122387613012588
- 46818744184212 is an abundant number, because the sum of its proper divisors (122387613012588) is greater than itself. Its abundance is 75568868828376
Bases of 46818744184212
- Binary: 10101010010100110101101001110110101101100101002
- Hexadecimal: 0x2A94D69DAD94
- Base-36: GLG8FGO7O
Squares and roots of 46818744184212
- 46818744184212 squared (468187441842122) is 2191994806986684973390060944
- 46818744184212 cubed (468187441842123) is 102626444121430762562427287799664242616128
-
The
square root of 46818744184212 is 6842422.3915373713 -
The
cube root of 46818744184212 is 36041.8094967729
Scales and comparisons
How big is 46818744184212?- 46,818,744,184,212 seconds is equal to 1,488,691 years, 12 weeks, 5 days, 5 hours, 50 minutes, 12 seconds.
-
To count from 1 to 46,818,744,184,212 would take you about three million, seven hundred twenty-one thousand, seven hundred twenty-eight 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 46818744184212 cubic inches would be around 3003.5 feet tall.
Recreational maths with 46818744184212
- 46818744184212 backwards is 21248144781864
- The number of decimal digits it has is: 14
- The sum of 46818744184212's digits is 60
- 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 46818744184212 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 46818744184212 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/46818744184212/
Chicago style:
Numbermatics. 2024. "Number 46818744184212 - Facts about the integer". https://numbermatics.com/n/46818744184212/
The information we have on file for 46818744184212 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 46818744184212, math, Factors of 46818744184212, curriculum, school, college, exams, university, Prime factorization of 46818744184212, STEM, science, technology, engineering, physics, economics, calculator, forty-six trillion, eight hundred eighteen billion, seven hundred forty-four million, one hundred eighty-four thousand, two hundred twelve.