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12167404117 = 1131266313399
BaseRepresentation
bin10110101010011101…
…11101101001010101
31011101222010011121221
423111032331221111
5144404323412432
65331205410341
7610343141251
oct132516755125
934358104557
1012167404117
115184200890
122436a099b1
1311bba4840b
14835d57261
154b32dbb97
hex2d53bda55

12167404117 has 16 divisors (see below), whose sum is σ = 13707878400. Its totient is φ = 10699642800.

The previous prime is 12167404103. The next prime is 12167404121. The reversal of 12167404117 is 71140476121.

It is a de Polignac number, because none of the positive numbers 2k-12167404117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12167404127) 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, 901384 + ... + 914782.

It is an arithmetic number, because the mean of its divisors is an integer number (856742400).

Almost surely, 212167404117 is an apocalyptic number.

It is an amenable number.

12167404117 is a deficient number, since it is larger than the sum of its proper divisors (1540474283).

12167404117 is a wasteful number, since it uses less digits than its factorization.

12167404117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16104.

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 12167404117 in words is "twelve billion, one hundred sixty-seven million, four hundred four thousand, one hundred seventeen".

Divisors: 1 11 31 341 2663 13399 29293 82553 147389 415369 908083 4569059 35681537 392496907 1106127647 12167404117