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12375374127 = 331373596447
BaseRepresentation
bin10111000011010000…
…10011100100101111
31011221110110010211220
423201220103210233
5200321043433002
65403555114423
7615446641644
oct134150234457
934843403756
1012375374127
115280637826
1224945a2a13
131222b632ac
14855811dcb
154c66bc7bc
hex2e1a1392f

12375374127 has 16 divisors (see below), whose sum is σ = 17493123072. Its totient is φ = 7768323360.

The previous prime is 12375374107. The next prime is 12375374147. The reversal of 12375374127 is 72147357321.

12375374127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12375374107) and next prime (12375374147).

It is a de Polignac number, because none of the positive numbers 2k-12375374127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12375374107) 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 15 ways as a sum of consecutive naturals, for example, 1794783 + ... + 1801664.

It is an arithmetic number, because the mean of its divisors is an integer number (1093320192).

Almost surely, 212375374127 is an apocalyptic number.

12375374127 is a deficient number, since it is larger than the sum of its proper divisors (5117748945).

12375374127 is a wasteful number, since it uses less digits than its factorization.

12375374127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596518.

The product of its digits is 246960, while the sum is 42.

The spelling of 12375374127 in words is "twelve billion, three hundred seventy-five million, three hundred seventy-four thousand, one hundred twenty-seven".

Divisors: 1 3 31 37 93 111 1147 3441 3596447 10789341 111489857 133068539 334469571 399205617 4125124709 12375374127