12491956800 has 252 divisors, whose sum is σ = 44499832260. Its totient is φ = 3323658240.

The previous prime is 12491956751. The next prime is 12491956801. The reversal of 12491956800 is 865919421.

12491956800 is a `hidden beast` number, since 12 + 491 + 95 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 48108096 + 12443848704 = 6936^2 + 111552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12491956801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9690556 + ... + 9691844.

Almost surely, 2^12491956800 is an apocalyptic number.

12491956800 is a gapful number since it is divisible by the number (10) 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 12491956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22249916130).

12491956800 is an abundant number, since it is smaller than the sum of its proper divisors (32007875460).

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

12491956800 is a wasteful number, since it uses less digits than its factorization.

12491956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12491956800 in words is "twelve billion, four hundred ninety-one million, nine hundred fifty-six thousand, eight hundred".