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12665412 = 2232596789
BaseRepresentation
bin110000010100…
…001001000100
3212211110200100
4300110021010
511220243122
61131244100
7212440254
oct60241104
925743610
1012665412
117170791
1242a9630
132815b36
141979964
1511a2aac
hexc14244

12665412 has 72 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 4042368.

The previous prime is 12665407. The next prime is 12665413. The reversal of 12665412 is 21456621.

12665412 is a `hidden beast` number, since 1 + 2 + 6 + 654 + 1 + 2 = 666.

It is a super-2 number, since 2×126654122 = 320825322259488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12665413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142264 + ... + 142352.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 212665412 is an apocalyptic number.

12665412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12665412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

12665412 is an abundant number, since it is smaller than the sum of its proper divisors (20749788).

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

12665412 is a wasteful number, since it uses less digits than its factorization.

12665412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12665412 is about 3558.8498141956. The cubic root of 12665412 is about 233.0986583859.

The spelling of 12665412 in words is "twelve million, six hundred sixty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 67 89 118 134 177 178 201 236 267 268 354 356 402 531 534 603 708 801 804 1062 1068 1206 1602 2124 2412 3204 3953 5251 5963 7906 10502 11859 11926 15753 15812 17889 21004 23718 23852 31506 35577 35778 47259 47436 53667 63012 71154 71556 94518 107334 142308 189036 214668 351817 703634 1055451 1407268 2110902 3166353 4221804 6332706 12665412