12951168 has 64 divisors (see below), whose sum is σ = 35618400. Its totient is φ = 4164608.

The previous prime is 12951163. The next prime is 12951193. The reversal of 12951168 is 86115921.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12951163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10555 + ... + 11717.

Almost surely, 2^12951168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17809200).

12951168 is an abundant number, since it is smaller than the sum of its proper divisors (22667232).

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

12951168 is a wasteful number, since it uses less digits than its factorization.

12951168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1197 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The square root of 12951168 is about 3598.7731242744. The cubic root of 12951168 is about 234.8386881487.

The spelling of 12951168 in words is "twelve million, nine hundred fifty-one thousand, one hundred sixty-eight".