12612912 has 160 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 3440640.

The previous prime is 12612907. The next prime is 12612913. The reversal of 12612912 is 21921621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12612913) 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, 307612 + ... + 307652.

It is an arithmetic number, because the mean of its divisors is an integer number (246078).

Almost surely, 2^12612912 is an apocalyptic number.

12612912 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 12612912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

12612912 is an abundant number, since it is smaller than the sum of its proper divisors (26759568).

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

12612912 is a wasteful number, since it uses less digits than its factorization.

12612912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 12612912 is about 3551.4661761025. The cubic root of 12612912 is about 232.7761362391.

It can be divided in two parts, 12 and 612912, that multiplied together give a square (7354944 = 2712²).

The spelling of 12612912 in words is "twelve million, six hundred twelve thousand, nine hundred twelve".