12499468800 has 960 divisors, whose sum is σ = 52567468800. Its totient is φ = 2601123840.

The previous prime is 12499468783. The next prime is 12499468811. The reversal of 12499468800 is 886499421.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 171225564 + ... + 171225636.

It is an arithmetic number, because the mean of its divisors is an integer number (54757780).

Almost surely, 2^12499468800 is an apocalyptic number.

12499468800 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 12499468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26283734400).

12499468800 is an abundant number, since it is smaller than the sum of its proper divisors (40068000000).

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

12499468800 is an equidigital number, since it uses as much as digits as its factorization.

12499468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 12499468800 in words is "twelve billion, four hundred ninety-nine million, four hundred sixty-eight thousand, eight hundred".