12561696 has 192 divisors, whose sum is σ = 43868160. Its totient is φ = 3421440.

The previous prime is 12561671. The next prime is 12561701. The reversal of 12561696 is 69616521.

12561696 is a `hidden beast` number, since 1 + 2 + 561 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12561696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187455 + ... + 187521.

It is an arithmetic number, because the mean of its divisors is an integer number (228480).

Almost surely, 2^12561696 is an apocalyptic number.

12561696 is a gapful number since it is divisible by the number (16) 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 12561696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934080).

12561696 is an abundant number, since it is smaller than the sum of its proper divisors (31306464).

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

12561696 is a wasteful number, since it uses less digits than its factorization.

12561696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 12561696 is about 3544.2482982997. The cubic root of 12561696 is about 232.4606384979.

The spelling of 12561696 in words is "twelve million, five hundred sixty-one thousand, six hundred ninety-six".