12561481296 has 400 divisors, whose sum is σ = 45805651584. Its totient is φ = 3234567168.

The previous prime is 12561481249. The next prime is 12561481319. The reversal of 12561481296 is 69218416521.

12561481296 is a `hidden beast` number, since 1 + 2 + 5 + 614 + 8 + 1 + 29 + 6 = 666.

Its product of digits (207360) is a multiple of the sum of its prime factors (2560).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5070010 + ... + 5072486.

Almost surely, 2^12561481296 is an apocalyptic number.

12561481296 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 12561481296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22902825792).

12561481296 is an abundant number, since it is smaller than the sum of its proper divisors (33244170288).

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

12561481296 is a wasteful number, since it uses less digits than its factorization.

12561481296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2545 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 12561481296 in words is "twelve billion, five hundred sixty-one million, four hundred eighty-one thousand, two hundred ninety-six".