12563712 has 216 divisors, whose sum is σ = 44640960. Its totient is φ = 3317760.

The previous prime is 12563689. The next prime is 12563737. The reversal of 12563712 is 21736521.

It is a happy number.

12563712 is a `hidden beast` number, since 1 + 25 + 637 + 1 + 2 = 666.

12563712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2520) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306412 + ... + 306452.

Almost surely, 2^12563712 is an apocalyptic number.

12563712 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 12563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320480).

12563712 is an abundant number, since it is smaller than the sum of its proper divisors (32077248).

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

12563712 is a wasteful number, since it uses less digits than its factorization.

12563712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 12563712 is about 3544.5326913431. The cubic root of 12563712 is about 232.4730735380.

The spelling of 12563712 in words is "twelve million, five hundred sixty-three thousand, seven hundred twelve".