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12013142131320 = 23351173124669387
BaseRepresentation
bin1010111011010000011100…
…0100011100001001111000
31120112110000112022112202220
42232310013010130021320
53033310403341200240
641314432235324040
72346630601205121
oct256640704341170
946473015275686
1012013142131320
113911821607660
121420288bb0620
13691ab0366a55
142d7621185048
1515c751a9a5d0
hexaed0711c278

12013142131320 has 128 divisors (see below), whose sum is σ = 39854309955840. Its totient is φ = 2872382653440.

The previous prime is 12013142131307. The next prime is 12013142131349. The reversal of 12013142131320 is 2313124131021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62238334 + ... + 62431053.

It is an arithmetic number, because the mean of its divisors is an integer number (311361796530).

Almost surely, 212013142131320 is an apocalyptic number.

12013142131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013142131320 is an abundant number, since it is smaller than the sum of its proper divisors (27841167824520).

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

12013142131320 is a wasteful number, since it uses less digits than its factorization.

12013142131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124669485 (or 124669481 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12013142131320 its reverse (2313124131021), we get a palindrome (14326266262341).

The spelling of 12013142131320 in words is "twelve trillion, thirteen billion, one hundred forty-two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 12045 16060 19272 24090 32120 48180 96360 124669387 249338774 374008161 498677548 623346935 748016322 997355096 1246693870 1371363257 1496032644 1870040805 2493387740 2742726514 2992065288 3740081610 4114089771 4986775480 5485453028 6856816285 7480163220 8228179542 9100865251 10970906056 13713632570 14960326440 16456359084 18201730502 20570448855 27302595753 27427265140 32912718168 36403461004 41140897710 45504326255 54605191506 54854530280 72806922008 82281795420 91008652510 100109517761 109210383012 136512978765 164563590840 182017305020 200219035522 218420766024 273025957530 300328553283 364034610040 400438071044 500547588805 546051915060 600657106566 800876142088 1001095177610 1092103830120 1201314213132 1501642766415 2002190355220 2402628426264 3003285532830 4004380710440 6006571065660 12013142131320