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12001110230232 = 23323147114400883
BaseRepresentation
bin1010111010100011100111…
…1010011000010011011000
31120111021222000011122100200
42232220321322120103120
53033111233204331412
641305122310102200
72346023461554234
oct256507172302330
946437860148320
1012001110230232
113907707947252
121419a8b64a960
13690913712b56
142d6bdd2215c4
1515c29a6279dc
hexaea39e984d8

12001110230232 has 96 divisors (see below), whose sum is σ = 34265352775680. Its totient is φ = 3788957211840.

The previous prime is 12001110230227. The next prime is 12001110230257. The reversal of 12001110230232 is 23203201110021.

12001110230232 is a `hidden beast` number, since 1 + 200 + 1 + 1 + 1 + 0 + 230 + 232 = 666.

12001110230232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57095538 + ... + 57305345.

It is an arithmetic number, because the mean of its divisors is an integer number (356930758080).

Almost surely, 212001110230232 is an apocalyptic number.

12001110230232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001110230232 is an abundant number, since it is smaller than the sum of its proper divisors (22264242545448).

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

12001110230232 is a wasteful number, since it uses less digits than its factorization.

12001110230232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114400973 (or 114400966 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12001110230232 its reverse (23203201110021), we get a palindrome (35204311340253).

The spelling of 12001110230232 in words is "twelve trillion, one billion, one hundred ten million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 141 186 188 248 279 282 372 376 423 558 564 744 846 1116 1128 1457 1692 2232 2914 3384 4371 5828 8742 11656 13113 17484 26226 34968 52452 104904 114400883 228801766 343202649 457603532 686405298 915207064 1029607947 1372810596 2059215894 2745621192 3546427373 4118431788 5376841501 7092854746 8236863576 10639282119 10753683002 14185709492 16130524503 21278564238 21507366004 28371418984 31917846357 32261049006 42557128476 43014732008 48391573509 63835692714 64522098012 85114256952 96783147018 127671385428 129044196024 166682086531 193566294036 255342770856 333364173062 387132588072 500046259593 666728346124 1000092519186 1333456692248 1500138778779 2000185038372 3000277557558 4000370076744 6000555115116 12001110230232