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12160057122 = 23488185201
BaseRepresentation
bin10110101001100101…
…11011111100100010
31011101110021220110000
423110302323330202
5144400433311442
65330344120430
7610223531403
oct132462737442
934343256400
1012160057122
115180042994
122434466116
1311ba375295
14834da39aa
154b2839d4c
hex2d4cbbf22

12160057122 has 40 divisors (see below), whose sum is σ = 27278783532. Its totient is φ = 4048704000.

The previous prime is 12160057111. The next prime is 12160057123. The reversal of 12160057122 is 22175006121.

12160057122 is a `hidden beast` number, since 1 + 2 + 1 + 600 + 57 + 1 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11998792521 + 161264601 = 109539^2 + 12699^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12160057123) 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 19 ways as a sum of consecutive naturals, for example, 100122 + ... + 185322.

Almost surely, 212160057122 is an apocalyptic number.

12160057122 is an abundant number, since it is smaller than the sum of its proper divisors (15118726410).

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

12160057122 is an equidigital number, since it uses as much as digits as its factorization.

12160057122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86096 (or 86087 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 12160057122 in words is "twelve billion, one hundred sixty million, fifty-seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 881 1762 2643 5286 7929 15858 23787 47574 71361 85201 142722 170402 255603 511206 766809 1533618 2300427 4600854 6901281 13802562 75062081 150124162 225186243 450372486 675558729 1351117458 2026676187 4053352374 6080028561 12160057122