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12067684512 = 253139669619
BaseRepresentation
bin10110011110100101…
…00100000010100000
31011011000110220001020
423033102210002200
5144203311401022
65313244205440
7605022424452
oct131722440240
934130426036
1012067684512
115132990a94
122409539880
1311a41a2430
148269da2d2
154a969035c
hex2cf4a40a0

12067684512 has 48 divisors (see below), whose sum is σ = 34114419360. Its totient is φ = 3713133312.

The previous prime is 12067684507. The next prime is 12067684613. The reversal of 12067684512 is 21548676021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4833562 + ... + 4836057.

It is an arithmetic number, because the mean of its divisors is an integer number (710717070).

Almost surely, 212067684512 is an apocalyptic number.

12067684512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12067684512 is an abundant number, since it is smaller than the sum of its proper divisors (22046734848).

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

12067684512 is a wasteful number, since it uses less digits than its factorization.

12067684512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9669645 (or 9669637 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 12067684512 in words is "twelve billion, sixty-seven million, six hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9669619 19339238 29008857 38678476 58017714 77356952 116035428 125705047 154713904 232070856 251410094 309427808 377115141 464141712 502820188 754230282 928283424 1005640376 1508460564 2011280752 3016921128 4022561504 6033842256 12067684512