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12966912 = 21033767
BaseRepresentation
bin110001011101…
…110000000000
3220101210021000
4301131300000
511304420122
61141532000
7215134260
oct61356000
926353230
1012966912
117357262
124414000
1328c013a
141a177a0
1512120ac
hexc5dc00

12966912 has 176 divisors, whose sum is σ = 44542720. Its totient is φ = 3649536.

The previous prime is 12966881. The next prime is 12966929. The reversal of 12966912 is 21966921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193503 + ... + 193569.

Almost surely, 212966912 is an apocalyptic number.

12966912 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 12966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22271360).

12966912 is an abundant number, since it is smaller than the sum of its proper divisors (31575808).

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

12966912 is an equidigital number, since it uses as much as digits as its factorization.

12966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 12966912 is about 3600.9598720341. The cubic root of 12966912 is about 234.9338096368.

Subtracting 12966912 from its reverse (21966921), we obtain a palindrome (9000009).

The spelling of 12966912 in words is "twelve million, nine hundred sixty-six thousand, nine hundred twelve".