12638712 has 64 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 4055040.

The previous prime is 12638699. The next prime is 12638741. The reversal of 12638712 is 21783621.

12638712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (4032) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 12638712.

It is a congruent number.

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, 130248 + ... + 130344.

Almost surely, 2^12638712 is an apocalyptic number.

12638712 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 12638712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

12638712 is an abundant number, since it is smaller than the sum of its proper divisors (20171688).

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

12638712 is a wasteful number, since it uses less digits than its factorization.

12638712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 12638712 is about 3555.0966231595. The cubic root of 12638712 is about 232.9347444463.

The spelling of 12638712 in words is "twelve million, six hundred thirty-eight thousand, seven hundred twelve".