12961512 has 64 divisors (see below), whose sum is σ = 37584000. Its totient is φ = 4131072.

The previous prime is 12961499. The next prime is 12961537. The reversal of 12961512 is 21516921.

12961512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12961512² = 336001586652288, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3664 + ... + 6272.

It is an arithmetic number, because the mean of its divisors is an integer number (587250).

Almost surely, 2^12961512 is an apocalyptic number.

12961512 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 12961512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792000).

12961512 is an abundant number, since it is smaller than the sum of its proper divisors (24622488).

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

12961512 is a wasteful number, since it uses less digits than its factorization.

12961512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2637 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 12961512 is about 3600.2099938754. The cubic root of 12961512 is about 234.9011928061.

The spelling of 12961512 in words is "twelve million, nine hundred sixty-one thousand, five hundred twelve".