12768912 has 120 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3711744.

The previous prime is 12768907. The next prime is 12768937. The reversal of 12768912 is 21986721.

It is a super-2 number, since 2×12768912² = 326090227327488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35389 + ... + 35747.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 2^12768912 is an apocalyptic number.

12768912 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 12768912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

12768912 is an abundant number, since it is smaller than the sum of its proper divisors (27853488).

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

12768912 is a wasteful number, since it uses less digits than its factorization.

12768912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12768912 is about 3573.3614426755. The cubic root of 12768912 is about 233.7318866497.

The spelling of 12768912 in words is "twelve million, seven hundred sixty-eight thousand, nine hundred twelve".