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12129591168 = 273210529159
BaseRepresentation
bin10110100101111101…
…01101111110000000
31011022022222002000100
423102332231332000
5144320133404133
65323335122400
7606403552362
oct132276557600
934268862010
1012129591168
115164924412
122426213400
1311b3c691a6
14830d12d32
154aed1ce13
hex2d2fadf80

12129591168 has 48 divisors (see below), whose sum is σ = 34904165400. Its totient is φ = 4043196672.

The previous prime is 12129591161. The next prime is 12129591283. The reversal of 12129591168 is 86119592121.

12129591168 is a `hidden beast` number, since 1 + 21 + 29 + 591 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12129591161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5263428 + ... + 5265731.

Almost surely, 212129591168 is an apocalyptic number.

12129591168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12129591168 is an abundant number, since it is smaller than the sum of its proper divisors (22774574232).

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

12129591168 is a wasteful number, since it uses less digits than its factorization.

12129591168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529179 (or 10529164 counting only the distinct ones).

The product of its digits is 77760, while the sum is 45.

The spelling of 12129591168 in words is "twelve billion, one hundred twenty-nine million, five hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10529159 21058318 31587477 42116636 63174954 84233272 94762431 126349908 168466544 189524862 252699816 336933088 379049724 505399632 673866176 758099448 1010799264 1347732352 1516198896 2021598528 3032397792 4043197056 6064795584 12129591168