12456961 has 16 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 10616320.

The previous prime is 12456943. The next prime is 12456991. The reversal of 12456961 is 16965421.

It is not a de Polignac number, because 12456961 - 2⁵ = 12456929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12456911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12945 + ... + 13873.

It is an arithmetic number, because the mean of its divisors is an integer number (903960).

Almost surely, 2^12456961 is an apocalyptic number.

12456961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12456961 is a deficient number, since it is larger than the sum of its proper divisors (2006399).

12456961 is a wasteful number, since it uses less digits than its factorization.

12456961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016.

The product of its digits is 12960, while the sum is 34.

The square root of 12456961 is about 3529.4420238899. The cubic root of 12456961 is about 231.8127762700.

The spelling of 12456961 in words is "twelve million, four hundred fifty-six thousand, nine hundred sixty-one".