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12163892127 = 3311516071427
BaseRepresentation
bin10110101010000011…
…00100001110011111
31011101201111202002020
423111001210032133
5144402424022002
65331002231223
7610301243232
oct132501441637
934351452066
1012163892127
115182222212
1224357b5513
1311bb0b8a0a
148356c1419
154b2d462bc
hex2d506439f

12163892127 has 32 divisors (see below), whose sum is σ = 16892166144. Its totient is φ = 7777404000.

The previous prime is 12163892123. The next prime is 12163892137. The reversal of 12163892127 is 72129836121.

12163892127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12163892127 - 22 = 12163892123 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12163892123) by changing a digit.

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, 8523388 + ... + 8524814.

It is an arithmetic number, because the mean of its divisors is an integer number (527880192).

Almost surely, 212163892127 is an apocalyptic number.

12163892127 is a deficient number, since it is larger than the sum of its proper divisors (4728274017).

12163892127 is a wasteful number, since it uses less digits than its factorization.

12163892127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219.

The product of its digits is 72576, while the sum is 42.

The spelling of 12163892127 in words is "twelve billion, one hundred sixty-three million, eight hundred ninety-two thousand, one hundred twenty-seven".

Divisors: 1 3 31 93 151 453 607 1427 1821 4281 4681 14043 18817 44237 56451 91657 132711 215477 274971 646431 866189 2598567 2841367 6679787 8524101 20039361 26851859 80555577 130794539 392383617 4054630709 12163892127