12126825916800
12,126,825,916,800 is an even composite number composed of six prime numbers multiplied together.
12126825916800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12126825916800:
27 × 3 × 52 × 73 × 31 × 118801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 31 × 118801)See below for interesting mathematical facts about the number 12126825916800 from the Numbermatics database.
Names of 12126825916800
- Cardinal: 12126825916800 can be written as Twelve trillion, one hundred twenty-six billion, eight hundred twenty-five million, nine hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.21268259168 × 1013
Factors of 12126825916800
Divisors of 12126825916800
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 49 50 56 60 62 64 70 75 80 84 93 96 98 100 105 112 120 124 128 140 147 150 155 160 168 175 186 192 196 200 210 217 224 240 245 248 280 294 300 310 320 336 343 350 372 384 392 400 420 434 448 465 480 490 496 525 560 588 600 620 640 651 672 686 700 735 744 775 784 800 840 868 896 930 960 980 992 1029 1050 1085 1120 1176 1200 1225 1240 1302 1344 1372 1400 1470 1488 1519 1550 1568 1600 1680 1715 1736 1860 1920 1960 1984 2058 2100 2170 2240 2325 2352 2400 2450 2480 2604 2688 2744 2800 2940 2976 3038 3100 3136 3200 3255 3360 3430 3472 3675 3720 3920 3968 4116 4200 4340 4480 4557 4650 4704 4800 4900 4960 5145 5208 5425 5488 5600 5880 5952 6076 6200 6272 6510 6720 6860 6944 7350 7440 7595 7840 8232 8400 8575 8680 9114 9300 9408 9600 9800 9920 10290 10416 10633 10850 10976 11200 11760 11904 12152 12400 13020 13440 13720 13888 14700 14880 15190 15680 16275 16464 16800 17150 17360 18228 18600 18816 19600 19840 20580 20832 21266 21700 21952 22400 22785 23520 24304 24800 25725 26040 27440 27776 29400 29760 30380 31360 31899 32550 32928 33600 34300 34720 36456 37200 37975 39200 41160 41664 42532 43400 43904 45570 47040 48608 49600 51450 52080 53165 54880 58800 59520 60760 63798 65100 65856 67200 68600 69440 72912 74400 75950 78400 82320 83328 85064 86800 91140 94080 97216 99200 102900 104160 106330 109760 113925 117600 118801 121520 127596 130200 131712 137200 138880 145824 148800 151900 156800 159495 164640 170128 173600 182280 194432 205800 208320 212660 219520 227850 235200 237602 243040 255192 260400 265825 274400 291648 297600 303800 318990 329280 340256 347200 356403 364560 411600 416640 425320 455700 470400 475204 486080 510384 520800 531650 548800 583296 594005 607600 637980 658560 680512 694400 712806 729120 797475 823200 831607 850640 911400 950408 972160 1020768 1041600 1063300 1097600 1188010 1215200 1275960 1361024 1425612 1458240 1594950 1646400 1663214 1701280 1782015 1822800 1900816 2041536 2083200 2126600 2376020 2430400 2494821 2551920 2851224 2916480 2970025 3189900 3292800 3326428 3402560 3564030 3645600 3682831 3801632 4083072 4158035 4253200 4752040 4860800 4989642 5103840 5702448 5821249 5940050 6379800 6652856 6805120 7128060 7291200 7365662 7603264 8316070 8506400 8910075 9504080 9979284 10207680 11048493 11404896 11642498 11880100 12474105 12759600 13305712 14256120 14582400 14731324 15206528 16632140 17012800 17463747 17820150 18414155 19008160 19958568 20415360 20790175 22096986 22809792 23284996 23760200 24948210 25519200 25779817 26611424 28512240 29106245 29462648 33264280 34025600 34927494 35640300 36828310 38016320 39917136 40748743 41580350 44193972 45619584 46569992 47520400 49896420 51038400 51559634 53222848 55242465 57024480 58212490 58925296 62370525 66528560 69854988 71280600 73656620 76032640 77339451 79834272 81497486 83160700 87318735 88387944 92070775 93139984 95040800 99792840 102076800 103119268 106445696 110484930 114048960 116424980 117850592 122246229 124741050 128899085 133057120 139709976 142561200 145531225 147313240 154678902 159668544 162994972 166321400 174637470 176775888 180458719 184141550 186279968 190081600 199585680 203743715 206238536 220969860 228097920 232849960 235701184 244492458 249482100 257798170 266114240 276212325 279419952 285122400 291062450 294626480 309357804 319337088 325989944 332642800 349274940 353551776 360917438 368283100 372559936 380163200 386697255 399171360 407487430 412477072 436593675 441939720 465699920 471402368 488984916 498964200 515596340 532228480 541376157 552424650 558839904 570244800 582124900 589252960 611231145 618715608 644495425 651979888 665285600 698549880 707103552 721834876 736566200 745119872 773394510 798342720 814974860 824954144 873187350 883879440 902293595 931399840 977969832 997928400 1018718575 1031192680 1082752314 1104849300 1117679808 1140489600 1164249800 1178505920 1222462290 1237431216 1263211033 1288990850 1303959776 1330571200 1397099760 1414207104 1443669752 1473132400 1546789020 1596685440 1629949720 1649908288 1746374700 1767758880 1804587190 1862799680 1933486275 1955939664 1995856800 2037437150 2062385360 2165504628 2209698600 2235359616 2328499600 2357011840 2444924580 2474862432 2526422066 2577981700 2607919552 2661142400 2706880785 2794199520 2887339504 2946264800 3056155725 3093578040 3259899440 3299816576 3492749400 3535517760 3609174380 3725599360 3789633099 3866972550 3911879328 3991713600 4074874300 4124770720 4331009256 4419397200 4511467975 4656999200 4889849160 4949724864 5052844132 5155963400 5215839104 5413761570 5588399040 5774679008 5892529600 6112311450 6187156080 6316055165 6519798880 6985498800 7071035520 7218348760 7579266198 7733945100 7823758656 7983427200 8149748600 8249541440 8662018512 8838794400 9022935950 9313998400 9779698320 9899449728 10105688264 10311926800 10827523140 11176798080 11549358016 11785059200 12224622900 12374312160 12632110330 13039597760 13534403925 13970997600 14436697520 15158532396 15467890200 15647517312 16299497200 16499082880 17324037024 17677588800 18045871900 18627996800 18948165495 19559396640 20211376528 20623853600 21655046280 23098716032 24449245800 24748624320 25264220660 26079195520 27068807850 27941995200 28873395040 30317064792 30935780400 31580275825 32598994400 34648074048 35355177600 36091743800 37896330990 39118793280 40422753056 41247707200 43310092560 48898491600 49497248640 50528441320 54137615700 55883990400 57746790080 60634129584 61871560800 63160551650 65197988800 69296148096 72183487600 75792661980 78237586560 80845506112 82495414400 86620185120 94740827475 97796983200 101056882640 108275231400 115493580160 121268259168 123743121600 126321103300 130395977600 144366975200 151585323960 161691012224 173240370240 189481654950 195593966400 202113765280 216550462800 242536518336 247486243200 252642206600 288733950400 303170647920 346480740480 378963309900 391187932800 404227530560 433100925600 485073036672 505284413200 577467900800 606341295840 757926619800 808455061120 866201851200 1010568826400 1212682591680 1515853239600 1732403702400 2021137652800 2425365183360 3031706479200 4042275305600 6063412958400 12126825916800
- Sum of all divisors σ(n): 48083446272000
- Sum of proper divisors (its aliquot sum) s(n): 35956620355200
- 12126825916800 is an abundant number, because the sum of its proper divisors (35956620355200) is greater than itself. Its abundance is 23829794438400
Bases of 12126825916800
- Binary: 101100000111011111110010011010101001100000002
- Hexadecimal: 0xB077F26A980
- Base-36: 4AQZJ1MYO
Squares and roots of 12126825916800
- 12126825916800 squared (121268259168002) is 147059906816372160522240000
- 12126825916800 cubed (121268259168003) is 1783369889302974894775109854789632000000
-
The
square root of 12126825916800 is 3482359.2457987445 -
The
cube root of 12126825916800 is 22974.6576047403
Scales and comparisons
How big is 12126825916800?- 12,126,825,916,800 seconds is equal to 385,595 years, 28 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 12,126,825,916,800 would take you about nine hundred sixty-three thousand, nine hundred eighty-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 12126825916800 cubic inches would be around 1914.6 feet tall.
Recreational maths with 12126825916800
- 12126825916800 backwards is 00861952862121
- The number of decimal digits it has is: 14
- The sum of 12126825916800's digits is 51
- More coming soon!
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The information we have on file for 12126825916800 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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