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12160104888 = 2333189227809
BaseRepresentation
bin10110101001100110…
…00111100110111000
31011101110101022222010
423110303013212320
5144400441324023
65330345125520
7610224120561
oct132463074670
934343338863
1012160104888
115180075868
1224344898a0
1311ba390c49
14834db7168
154b2849093
hex2d4cc79b8

12160104888 has 128 divisors (see below), whose sum is σ = 31912704000. Its totient is φ = 3856680960.

The previous prime is 12160104881. The next prime is 12160104889. The reversal of 12160104888 is 88840106121.

It is a super-2 number, since 2×121601048882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12160104881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15030628 + ... + 15031436.

It is an arithmetic number, because the mean of its divisors is an integer number (249318000).

Almost surely, 212160104888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12160104888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956352000).

12160104888 is an abundant number, since it is smaller than the sum of its proper divisors (19752599112).

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

12160104888 is a wasteful number, since it uses less digits than its factorization.

12160104888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 12160104888 in words is "twelve billion, one hundred sixty million, one hundred four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 89 93 124 178 186 227 248 267 356 372 454 534 681 712 744 809 908 1068 1362 1618 1816 2136 2427 2724 2759 3236 4854 5448 5518 6472 7037 8277 9708 11036 14074 16554 19416 20203 21111 22072 25079 28148 33108 40406 42222 50158 56296 60609 66216 72001 75237 80812 84444 100316 121218 144002 150474 161624 168888 183643 200632 216003 242436 288004 300948 367286 432006 484872 550929 576008 601896 626293 734572 864012 1101858 1252586 1469144 1728024 1878879 2203716 2232031 2505172 3757758 4407432 4464062 5010344 5692933 6696093 7515516 8928124 11385866 13392186 15031032 16344227 17078799 17856248 22771732 26784372 32688454 34157598 45543464 49032681 53568744 65376908 68315196 98065362 130753816 136630392 196130724 392261448 506671037 1013342074 1520013111 2026684148 3040026222 4053368296 6080052444 12160104888