12132120
12,132,120 is an even composite number composed of seven prime numbers multiplied together.
12132120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 12132120:
23 × 3 × 5 × 7 × 11 × 13 × 101
(2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 101)See below for interesting mathematical facts about the number 12132120 from the Numbermatics database.
Names of 12132120
- Cardinal: 12132120 can be written as Twelve million, one hundred thirty-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.213212 × 107
Factors of 12132120
Divisors of 12132120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 20 21 22 24 26 28 30 33 35 39 40 42 44 52 55 56 60 65 66 70 77 78 84 88 91 101 104 105 110 120 130 132 140 143 154 156 165 168 182 195 202 210 220 231 260 264 273 280 286 303 308 312 330 364 385 390 404 420 429 440 455 462 505 520 546 572 606 616 660 707 715 728 770 780 808 840 858 910 924 1001 1010 1092 1111 1144 1155 1212 1313 1320 1365 1414 1430 1515 1540 1560 1716 1820 1848 2002 2020 2121 2145 2184 2222 2310 2424 2626 2730 2828 2860 3003 3030 3080 3333 3432 3535 3640 3939 4004 4040 4242 4290 4444 4620 5005 5252 5460 5555 5656 5720 6006 6060 6565 6666 7070 7777 7878 8008 8484 8580 8888 9191 9240 10010 10504 10605 10920 11110 12012 12120 13130 13332 14140 14443 15015 15554 15756 16665 16968 17160 18382 19695 20020 21210 22220 23331 24024 26260 26664 27573 28280 28886 30030 31108 31512 33330 36764 38885 39390 40040 42420 43329 44440 45955 46662 52520 55146 57772 60060 62216 66660 72215 73528 77770 78780 84840 86658 91910 93324 101101 110292 115544 116655 120120 133320 137865 144430 155540 157560 173316 183820 186648 202202 216645 220584 233310 275730 288860 303303 311080 346632 367640 404404 433290 466620 505505 551460 577720 606606 808808 866580 933240 1011010 1102920 1213212 1516515 1733160 2022020 2426424 3033030 4044040 6066060 12132120
- Sum of all divisors σ(n): 49351680
- Sum of proper divisors (its aliquot sum) s(n): 37219560
- 12132120 is an abundant number, because the sum of its proper divisors (37219560) is greater than itself. Its abundance is 25087440
Bases of 12132120
- Binary: 1011100100011111000110002
- Hexadecimal: 0xB91F18
- Base-36: 7817C
Squares and roots of 12132120
- 12132120 squared (121321202) is 147188335694400
- 12132120 cubed (121321203) is 1785706551244744128000
-
The
square root of 12132120 is 3483.1192916695 -
The
cube root of 12132120 is 229.7800038805
Scales and comparisons
How big is 12132120?- 12,132,120 seconds is equal to 20 weeks, 10 hours, 2 minutes.
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To count from 1 to 12,132,120 would take you about thirty weeks!
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 12132120 cubic inches would be around 19.1 feet tall.
Recreational maths with 12132120
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