12912704 has 112 divisors (see below), whose sum is σ = 32430720. Its totient is φ = 4976640.

The previous prime is 12912703. The next prime is 12912719. The reversal of 12912704 is 40721921.

12912704 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (112).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (12912701) 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, 314924 + ... + 314964.

It is an arithmetic number, because the mean of its divisors is an integer number (289560).

Almost surely, 2^12912704 is an apocalyptic number.

12912704 is a gapful number since it is divisible by the number (14) 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 12912704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215360).

12912704 is an abundant number, since it is smaller than the sum of its proper divisors (19518016).

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

12912704 is a wasteful number, since it uses less digits than its factorization.

12912704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 12912704 is about 3593.4251070532. The cubic root of 12912704 is about 234.6059731697.

The spelling of 12912704 in words is "twelve million, nine hundred twelve thousand, seven hundred four".