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12012113123032 = 231116743113071451
BaseRepresentation
bin1010111011001100100110…
…1111000101011011011000
31120112100100211001111202211
42232303021233011123120
53033301301424414112
641314142200204504
72346563234606011
oct256631157053330
946470324044684
1012012113123032
113911343780490
121420040469734
136919781110c9
142d7564646008
1515c6e15890a7
hexaecc9bc56d8

12012113123032 has 128 divisors (see below), whose sum is σ = 24810750074880. Its totient is φ = 5406892240000.

The previous prime is 12012113123027. The next prime is 12012113123051. The reversal of 12012113123032 is 23032131121021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12012113122994 and 12012113123012.

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, 8278505907 + ... + 8278507357.

It is an arithmetic number, because the mean of its divisors is an integer number (193833984960).

Almost surely, 212012113123032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012113123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12405375037440).

12012113123032 is an abundant number, since it is smaller than the sum of its proper divisors (12798636951848).

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

12012113123032 is a wasteful number, since it uses less digits than its factorization.

12012113123032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12012113123032 its reverse (23032131121021), we get a palindrome (35044244244053).

The spelling of 12012113123032 in words is "twelve trillion, twelve billion, one hundred thirteen million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 167 334 431 668 862 1307 1336 1451 1724 1837 2614 2902 3448 3674 4741 5228 5804 7348 9482 10456 11608 14377 14696 15961 18964 28754 31922 37928 57508 63844 71977 115016 127688 143954 218269 242317 287908 436538 484634 563317 575816 625381 791747 873076 969268 1126634 1250762 1583494 1746152 1896457 1938536 2253268 2400959 2501524 2665487 3166988 3792914 4506536 4801918 5003048 5330974 6196487 6333976 6879191 7585828 9603836 10661948 12392974 13758382 15171656 19207672 20861027 21323896 24785948 27516764 41722054 49571896 55033528 83444108 94073939 104438627 166888216 188147878 208877254 316708319 376295756 417754508 633416638 752591512 817372967 835509016 1034813329 1148824897 1266833276 1634745934 2069626658 2297649794 2533666552 3269491868 3483791509 4139253316 4595299588 6538983736 6967583018 8278506632 8991102637 9190599176 13935166036 17982205274 27870332072 35964410548 71928821096 136501285489 273002570978 546005141956 1092010283912 1501514140379 3003028280758 6006056561516 12012113123032