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12132032032002 = 23294313128374363
BaseRepresentation
bin1011000010001011010101…
…1101011010110100000010
31120221210220011122021021210
42300202311131122310002
53042232400200011002
641445213434430550
72361340030532301
oct260426535326402
946853804567253
1012132032032002
113958190889723
12143b328b92456
136a00795755cc
142dd29ccc0438
151608ae37296c
hexb08b575ad02

12132032032002 has 128 divisors (see below), whose sum is σ = 25895615708160. Its totient is φ = 3782444440320.

The previous prime is 12132032031997. The next prime is 12132032032039. The reversal of 12132032032002 is 20023023023121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12132032032002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2780660673 + ... + 2780665035.

It is an arithmetic number, because the mean of its divisors is an integer number (202309497720).

Almost surely, 212132032032002 is an apocalyptic number.

12132032032002 is an abundant number, since it is smaller than the sum of its proper divisors (13763583676158).

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

12132032032002 is a wasteful number, since it uses less digits than its factorization.

12132032032002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12132032032002 its reverse (20023023023121), we get a palindrome (32155055055123).

The spelling of 12132032032002 in words is "twelve trillion, one hundred thirty-two billion, thirty-two million, thirty-two thousand, two".

Divisors: 1 2 3 6 29 43 58 86 87 129 131 174 258 262 393 786 1247 2494 2837 3741 3799 4363 5633 5674 7482 7598 8511 8726 11266 11397 13089 16899 17022 22794 26178 33798 82273 121991 126527 163357 164546 187609 243982 246819 253054 326714 365973 371647 375218 379581 490071 493638 562827 571553 731946 743294 759162 980142 1114941 1125654 1143106 1714659 2229882 3429318 3537739 5440661 7075478 10613217 10777763 10881322 12377831 15980821 16321983 16575037 21226434 21555526 24576779 24755662 31961642 32333289 32643966 33150074 37133493 47942463 49153558 49725111 64666578 73730337 74266986 95884926 99450222 147460674 358957099 463443809 532246733 712726591 717914198 926887618 1064493466 1076871297 1390331427 1425453182 1596740199 1621495861 2138179773 2153742594 2780662854 3193480398 3242991722 4276359546 4864487583 9728975166 15435155257 30870310514 46305465771 47023379969 69724322023 92610931542 94046759938 139448644046 141070139907 209172966069 282140279814 418345932138 2022005338667 4044010677334 6066016016001 12132032032002