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132212303122120 = 235131447334352561
BaseRepresentation
bin11110000011111100010011…
…010111001100111011001000
3122100010101001201122011221221
4132003330103113030323020
5114312131244044401440
61145105254335411424
736564011060032324
oct3603742327147310
9570111051564857
10132212303122120
1139143a17387a31
12129b3768983b74
1358a074a022130
142491176ad4984
15104422ab94d4a
hex783f135ccec8

132212303122120 has 128 divisors (see below), whose sum is σ = 320683974589440. Its totient is φ = 48767593328640.

The previous prime is 132212303122069. The next prime is 132212303122121. The reversal of 132212303122120 is 21221303212231.

It is a super-3 number, since 3×1322123031221203 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132212303122121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515380640 + ... + 2515433200.

It is an arithmetic number, because the mean of its divisors is an integer number (2505343551480).

Almost surely, 2132212303122120 is an apocalyptic number.

132212303122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212303122120 is an abundant number, since it is smaller than the sum of its proper divisors (188471671467320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132212303122120 is a wasteful number, since it uses less digits than its factorization.

132212303122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57375 (or 57371 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 132212303122120 its reverse (21221303212231), we get a palindrome (153433606334351).

The spelling of 132212303122120 in words is "one hundred thirty-two trillion, two hundred twelve billion, three hundred three million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1447 2894 3343 5788 6686 7235 11576 13372 14470 16715 18811 26744 28940 33430 37622 43459 52561 57880 66860 75244 86918 94055 105122 133720 150488 173836 188110 210244 217295 262805 347672 376220 420488 434590 525610 683293 752440 869180 1051220 1366586 1738360 2102440 2733172 3416465 4837321 5466344 6832930 9674642 13665860 19349284 24186605 27331720 38698568 48373210 62885173 76055767 96746420 125770346 152111534 175711423 193492840 251540692 304223068 314425865 351422846 380278835 503081384 608446136 628851730 702845692 760557670 878557115 988724971 1257703460 1405691384 1521115340 1757114230 1977449942 2284248499 2515406920 3042230680 3514228460 3954899884 4568496998 4943624855 7028456920 7909799768 9136993996 9887249710 11421242495 18273987992 19774499420 22842484990 39548998840 45684969980 91369939960 254254429081 508508858162 1017017716324 1271272145405 2034035432648 2542544290810 3305307578053 5085088581620 6610615156106 10170177163240 13221230312212 16526537890265 26442460624424 33053075780530 66106151561060 132212303122120