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12332397204 = 2233297353939
BaseRepresentation
bin10110111110001000…
…10111001010010100
31011211110120200121000
423133010113022110
5200224043202304
65355422023300
7614415434541
oct133704271224
934743520530
1012332397204
115259353606
122482117b30
131216c9676a
1484dc25bc8
154c2a2d939
hex2df117294

12332397204 has 96 divisors (see below), whose sum is σ = 33529104000. Its totient is φ = 3914604288.

The previous prime is 12332397173. The next prime is 12332397211. The reversal of 12332397204 is 40279323321.

12332397204 is a `hidden beast` number, since 123 + 323 + 9 + 7 + 204 = 666.

12332397204 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201667 + ... + 255605.

It is an arithmetic number, because the mean of its divisors is an integer number (349261500).

Almost surely, 212332397204 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 12332397204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764552000).

12332397204 is an abundant number, since it is smaller than the sum of its proper divisors (21196706796).

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

12332397204 is a wasteful number, since it uses less digits than its factorization.

12332397204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54054 (or 54046 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 12332397204 in words is "twelve billion, three hundred thirty-two million, three hundred ninety-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 73 87 108 116 146 174 219 261 292 348 438 522 657 783 876 1044 1314 1566 1971 2117 2628 3132 3942 4234 6351 7884 8468 12702 19053 25404 38106 53939 57159 76212 107878 114318 161817 215756 228636 323634 485451 647268 970902 1456353 1564231 1941804 2912706 3128462 3937547 4692693 5825412 6256924 7875094 9385386 11812641 14078079 15750188 18770772 23625282 28156158 35437923 42234237 47250564 56312316 70875846 84468474 106313769 114188863 141751692 168936948 212627538 228377726 342566589 425255076 456755452 685133178 1027699767 1370266356 2055399534 3083099301 4110799068 6166198602 12332397204