12451903200 has 576 divisors, whose sum is σ = 49811811840. Its totient is φ = 3013977600.

The previous prime is 12451903141. The next prime is 12451903229. The reversal of 12451903200 is 230915421.

12451903200 is a `hidden beast` number, since 1 + 2 + 451 + 9 + 0 + 3 + 200 = 666.

12451903200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19245277 + ... + 19245923.

It is an arithmetic number, because the mean of its divisors is an integer number (86478840).

Almost surely, 2^12451903200 is an apocalyptic number.

12451903200 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 12451903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24905905920).

12451903200 is an abundant number, since it is smaller than the sum of its proper divisors (37359908640).

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

12451903200 is an equidigital number, since it uses as much as digits as its factorization.

12451903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12451903200 in words is "twelve billion, four hundred fifty-one million, nine hundred three thousand, two hundred".