12325802400 has 720 divisors, whose sum is σ = 48593514816. Its totient is φ = 3029114880.

The previous prime is 12325802393. The next prime is 12325802413. The reversal of 12325802400 is 420852321.

12325802400 is a `hidden beast` number, since 1 + 2 + 3 + 258 + 0 + 2 + 400 = 666.

12325802400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 119 ways as a sum of consecutive naturals, for example, 73807117 + ... + 73807283.

Almost surely, 2^12325802400 is an apocalyptic number.

12325802400 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 12325802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24296757408).

12325802400 is an abundant number, since it is smaller than the sum of its proper divisors (36267712416).

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

12325802400 is a wasteful number, since it uses less digits than its factorization.

12325802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 12325802400 in words is "twelve billion, three hundred twenty-five million, eight hundred two thousand, four hundred".