12188808192000
12,188,808,192,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12188808192000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1120 divisors.
12188808192000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 12188808192000:
213 × 3 × 53 × 114 × 271
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 271)See below for interesting mathematical facts about the number 12188808192000 from the Numbermatics database.
Names of 12188808192000
- Cardinal: 12188808192000 can be written as Twelve trillion, one hundred eighty-eight billion, eight hundred eight million, one hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.2188808192 × 1013
Factors of 12188808192000
Divisors of 12188808192000
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 125 128 132 150 160 165 176 192 200 220 240 242 250 256 264 271 275 300 320 330 352 363 375 384 400 440 480 484 500 512 528 542 550 600 605 640 660 704 726 750 768 800 813 825 880 960 968 1000 1024 1056 1084 1100 1200 1210 1280 1320 1331 1355 1375 1408 1452 1500 1536 1600 1626 1650 1760 1815 1920 1936 2000 2048 2112 2168 2200 2400 2420 2560 2640 2662 2710 2750 2816 2904 2981 3000 3025 3072 3200 3252 3300 3520 3630 3840 3872 3993 4000 4065 4096 4125 4224 4336 4400 4800 4840 5120 5280 5324 5420 5500 5632 5808 5962 6000 6050 6144 6400 6504 6600 6655 6775 7040 7260 7680 7744 7986 8000 8130 8192 8250 8448 8672 8800 8943 9075 9600 9680 10240 10560 10648 10840 11000 11264 11616 11924 12000 12100 12288 12800 13008 13200 13310 13550 14080 14520 14641 14905 15125 15360 15488 15972 16000 16260 16500 16896 17344 17600 17886 18150 19200 19360 19965 20325 20480 21120 21296 21680 22000 22528 23232 23848 24000 24200 24576 25600 26016 26400 26620 27100 28160 29040 29282 29810 30250 30720 30976 31944 32000 32520 32791 33000 33275 33792 33875 34688 35200 35772 36300 38400 38720 39930 40650 40960 42240 42592 43360 43923 44000 44715 45056 45375 46464 47696 48000 48400 51200 52032 52800 53240 54200 56320 58080 58564 59620 60500 61440 61952 63888 64000 65040 65582 66000 66550 67584 67750 69376 70400 71544 72600 73205 74525 76800 77440 79860 81300 84480 85184 86720 87846 88000 89430 90112 90750 92928 95392 96000 96800 98373 99825 101625 102400 104064 105600 106480 108400 112640 116160 117128 119240 121000 122880 123904 127776 128000 130080 131164 132000 133100 135168 135500 138752 140800 143088 145200 146410 149050 153600 154880 159720 162600 163955 166375 168960 170368 173440 175692 176000 178860 181500 185856 190784 192000 193600 196746 199650 203250 204800 208128 211200 212960 216800 219615 223575 225280 232320 234256 238480 242000 247808 255552 256000 260160 262328 264000 266200 270336 271000 277504 281600 286176 290400 292820 298100 307200 309760 319440 325200 327910 332750 337920 340736 346880 351384 352000 357720 360701 363000 366025 371712 372625 381568 384000 387200 393492 399300 406500 416256 422400 425920 433600 439230 447150 450560 464640 468512 476960 484000 491865 495616 499125 511104 512000 520320 524656 528000 532400 542000 555008 563200 572352 580800 585640 596200 614400 619520 638880 650400 655820 665500 675840 681472 693760 702768 704000 715440 721402 726000 732050 743424 745250 763136 768000 774400 786984 798600 813000 819775 832512 844800 851840 867200 878460 894300 929280 937024 953920 968000 983730 991232 998250 1022208 1024000 1040640 1049312 1056000 1064800 1082103 1084000 1098075 1110016 1117875 1126400 1144704 1161600 1171280 1192400 1239040 1277760 1300800 1311640 1331000 1351680 1362944 1387520 1405536 1408000 1430880 1442804 1452000 1464100 1486848 1490500 1526272 1536000 1548800 1573968 1597200 1626000 1639550 1665024 1689600 1703680 1734400 1756920 1788600 1803505 1830125 1858560 1874048 1907840 1936000 1967460 1996500 2044416 2081280 2098624 2112000 2129600 2164206 2168000 2196150 2220032 2235750 2252800 2289408 2323200 2342560 2384800 2459325 2478080 2555520 2601600 2623280 2662000 2725888 2775040 2811072 2816000 2861760 2885608 2904000 2928200 2973696 2981000 3052544 3072000 3097600 3147936 3194400 3252000 3279100 3330048 3379200 3407360 3468800 3513840 3577200 3607010 3660250 3717120 3748096 3815680 3872000 3934920 3967711 3993000 4088832 4098875 4162560 4197248 4224000 4259200 4328412 4336000 4392300 4471500 4578816 4646400 4685120 4769600 4918650 4956160 5111040 5203200 5246560 5324000 5410515 5451776 5490375 5550080 5622144 5632000 5723520 5771216 5808000 5856400 5962000 6105088 6195200 6295872 6388800 6504000 6558200 6660096 6758400 6814720 6937600 7027680 7154400 7214020 7320500 7434240 7496192 7631360 7744000 7869840 7935422 7986000 8177664 8197750 8325120 8394496 8448000 8518400 8656824 8672000 8784600 8943000 9017525 9157632 9292800 9370240 9539200 9837300 10222080 10406400 10493120 10648000 10821030 10903552 10980750 11100160 11244288 11264000 11447040 11542432 11616000 11712800 11903133 11924000 12210176 12296625 12390400 12591744 12777600 13008000 13116400 13629440 13875200 14055360 14308800 14428040 14641000 14868480 14992384 15262720 15488000 15739680 15870844 15972000 16355328 16395500 16650240 16788992 16896000 17036800 17313648 17344000 17569200 17886000 18035050 18315264 18585600 18740480 19078400 19674600 19838555 20444160 20812800 20986240 21296000 21642060 21961500 22488576 22894080 23084864 23232000 23425600 23806266 23848000 24420352 24593250 24780800 25183488 25555200 26016000 26232800 27052575 27258880 27750400 28110720 28617600 28856080 29282000 29984768 30525440 30976000 31479360 31741688 31944000 32710656 32791000 33300480 33577984 33792000 34073600 34627296 34688000 35138400 35772000 36070100 36630528 37171200 37480960 38156800 39349200 39677110 40888320 41625600 41972480 42592000 43284120 43923000 44977152 45087625 45788160 46169728 46464000 46851200 47612532 47696000 49186500 50366976 51110400 52032000 52465600 54105150 54517760 55500800 56221440 57235200 57712160 58564000 59515665 59969536 61050880 61952000 62958720 63483376 63888000 65582000 67155968 68147200 69254592 69376000 70276800 71544000 72140200 73261056 74342400 74961920 76313600 78698400 79354220 81776640 83251200 83944960 85184000 86568240 87846000 89954304 90175250 91576320 92339456 92928000 93702400 95225064 95392000 98373000 99192775 100733952 102220800 104064000 104931200 108210300 112442880 114470400 115424320 117128000 119031330 119939072 122101760 123904000 125917440 126966752 127776000 131164000 134311936 135262875 136294400 138509184 138752000 140553600 143088000 144280400 149923840 152627200 157396800 158708440 163553280 166502400 167889920 170368000 173136480 175692000 179908608 180350500 183152640 184678912 185856000 187404800 190450128 190784000 196746000 198385550 201467904 204441600 208128000 209862400 216420600 224885760 228940800 230848640 234256000 238062660 251834880 253933504 255552000 262328000 268623872 270525750 272588800 277018368 277504000 281107200 286176000 288560800 297578325 299847680 305254400 314793600 317416880 335779840 340736000 346272960 351384000 359817216 360701000 366305280 369357824 371712000 374809600 380900256 381568000 393492000 396771100 402935808 408883200 416256000 419724800 432841200 449771520 457881600 461697280 468512000 476125320 495963875 503669760 507867008 511104000 524656000 541051500 554036736 562214400 572352000 577121600 595156650 599695360 610508800 629587200 634833760 671559680 681472000 692545920 702768000 721402000 738715648 749619200 761800512 763136000 786984000 793542200 805871616 817766400 832512000 839449600 865682400 899543040 915763200 923394560 937024000 952250640 991927750 1007339520 1015734016 1022208000 1049312000 1082103000 1108073472 1124428800 1144704000 1154243200 1190313300 1259174400 1269667520 1343119360 1362944000 1385091840 1405536000 1442804000 1477431296 1487891625 1499238400 1523601024 1526272000 1573968000 1587084400 1678899200 1731364800 1799086080 1831526400 1846789120 1874048000 1904501280 1983855500 2014679040 2031468032 2044416000 2098624000 2164206000 2216146944 2248857600 2289408000 2308486400 2380626600 2518348800 2539335040 2770183680 2811072000 2885608000 2954862592 2975783250 2998476800 3047202048 3052544000 3147936000 3174168800 3357798400 3462729600 3693578240 3748096000 3809002560 3967711000 4029358080 4062936064 4088832000 4197248000 4328412000 4432293888 4497715200 4578816000 4616972800 4761253200 5036697600 5078670080 5540367360 5622144000 5771216000 5951566500 6094404096 6295872000 6348337600 6715596800 6925459200 7387156480 7496192000 7618005120 7935422000 8125872128 8394496000 8656824000 8864587776 8995430400 9157632000 9233945600 9522506400 10073395200 10157340160 11080734720 11244288000 11542432000 11903133000 12188808192 12591744000 12696675200 13850918400 14774312960 14992384000 15236010240 15870844000 16251744256 16788992000 17313648000 18467891200 19045012800 20146790400 20314680320 22161469440 22488576000 23084864000 23806266000 24377616384 25183488000 25393350400 27701836800 30472020480 31741688000 32503488512 33577984000 34627296000 36935782400 38090025600 40629360640 44322938880 44977152000 46169728000 47612532000 48755232768 50366976000 50786700800 55403673600 60944040960 63483376000 69254592000 73871564800 76180051200 81258721280 92339456000 95225064000 97510465536 100733952000 101573401600 110807347200 121888081920 126966752000 138509184000 152360102400 162517442560 184678912000 190450128000 203146803200 221614694400 243776163840 253933504000 277018368000 304720204800 369357824000 380900256000 406293606400 487552327680 507867008000 554036736000 609440409600 761800512000 812587212800 1015734016000 1108073472000 1218880819200 1523601024000 2031468032000 2437761638400 3047202048000 4062936064000 6094404096000 12188808192000
- Sum of all divisors σ(n): 44782429835520
- Sum of proper divisors (its aliquot sum) s(n): 32593621643520
- 12188808192000 is an abundant number, because the sum of its proper divisors (32593621643520) is greater than itself. Its abundance is 20404813451520
Bases of 12188808192000
- Binary: 101100010101111011011001010100100000000000002
- Hexadecimal: 0xB15ED952000
- Base-36: 4BJGLOWLC
Squares and roots of 12188808192000
- 12188808192000 squared (121888081920002) is 148567045141366308864000000
- 12188808192000 cubed (121888081920003) is 1810855216880319463554325413888000000000
-
The
square root of 12188808192000 is 3491247.3690645297 -
The
cube root of 12188808192000 is 23013.7335697889
Scales and comparisons
How big is 12188808192000?- 12,188,808,192,000 seconds is equal to 387,566 years, 20 weeks, 4 days, 21 hours, 20 minutes.
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To count from 1 to 12,188,808,192,000 would take you about nine hundred sixty-eight thousand, nine hundred fifteen 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 12188808192000 cubic inches would be around 1917.8 feet tall.
Recreational maths with 12188808192000
- 12188808192000 backwards is 00029180888121
- 12188808192000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12188808192000's digits is 48
- More coming soon!
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The information we have on file for 12188808192000 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!
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