12910752 has 120 divisors (see below), whose sum is σ = 40340916. Its totient is φ = 4036608.

The previous prime is 12910739. The next prime is 12910753. The reversal of 12910752 is 25701921.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 2178576 = 3276^2 + 1476^2 .

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (12910753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43918 + ... + 44210.

Almost surely, 2^12910752 is an apocalyptic number.

12910752 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 12910752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170458).

12910752 is an abundant number, since it is smaller than the sum of its proper divisors (27430164).

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

12910752 is a wasteful number, since it uses less digits than its factorization.

12910752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12910752 is about 3593.1534896244. The cubic root of 12910752 is about 234.5941508605.

The spelling of 12910752 in words is "twelve million, nine hundred ten thousand, seven hundred fifty-two".