12451795200 has 864 divisors, whose sum is σ = 51522535680. Its totient is φ = 2919628800.

The previous prime is 12451795199. The next prime is 12451795241. The reversal of 12451795200 is 259715421.

12451795200 is a `hidden beast` number, since 12 + 4 + 51 + 79 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51667080 + ... + 51667320.

Almost surely, 2^12451795200 is an apocalyptic number.

12451795200 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 12451795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25761267840).

12451795200 is an abundant number, since it is smaller than the sum of its proper divisors (39070740480).

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

12451795200 is a wasteful number, since it uses less digits than its factorization.

12451795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 12451795200 in words is "twelve billion, four hundred fifty-one million, seven hundred ninety-five thousand, two hundred".