12815712 has 192 divisors, whose sum is σ = 46287360. Its totient is φ = 3359232.

The previous prime is 12815701. The next prime is 12815717. The reversal of 12815712 is 21751821.

12815712 is a `hidden beast` number, since 12 + 81 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12815717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78543 + ... + 78705.

It is an arithmetic number, because the mean of its divisors is an integer number (241080).

Almost surely, 2^12815712 is an apocalyptic number.

12815712 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 12815712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143680).

12815712 is an abundant number, since it is smaller than the sum of its proper divisors (33471648).

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

12815712 is a wasteful number, since it uses less digits than its factorization.

12815712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 12815712 is about 3579.9039093249. The cubic root of 12815712 is about 234.0170927685.

The spelling of 12815712 in words is "twelve million, eight hundred fifteen thousand, seven hundred twelve".