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12195108400792 = 2319417127561311
BaseRepresentation
bin1011000101110110010100…
…0110101010111010011000
31121011211201001221210122211
42301131211012222322120
53044301040222311132
641534204440124504
72366032104033232
oct261354506527230
947154631853584
1012195108400792
113981a09848129
12144b5b1166734
136a5cbc475655
14302364179252
15162351c02147
hexb17651aae98

12195108400792 has 64 divisors (see below), whose sum is σ = 25003622246400. Its totient is φ = 5556360096000.

The previous prime is 12195108400777. The next prime is 12195108400793. The reversal of 12195108400792 is 29700480159121.

12195108400792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121951084007922 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12195108400793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13338184 + ... + 14223127.

It is an arithmetic number, because the mean of its divisors is an integer number (390681597600).

Almost surely, 212195108400792 is an apocalyptic number.

It is an amenable number.

12195108400792 is an abundant number, since it is smaller than the sum of its proper divisors (12808513845608).

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

12195108400792 is a wasteful number, since it uses less digits than its factorization.

12195108400792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27561448 (or 27561444 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The spelling of 12195108400792 in words is "twelve trillion, one hundred ninety-five billion, one hundred eight million, four hundred thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 19 38 41 71 76 82 142 152 164 284 328 568 779 1349 1558 2698 2911 3116 5396 5822 6232 10792 11644 23288 55309 110618 221236 442472 27561311 55122622 110245244 220490488 523664909 1047329818 1130013751 1956853081 2094659636 2260027502 3913706162 4189319272 4520055004 7827412324 9040110008 15654824648 21470261269 37180208539 42940522538 74360417078 80230976321 85881045076 148720834156 160461952642 171762090152 297441668312 320923905284 641847810568 1524388550099 3048777100198 6097554200396 12195108400792