12256358400 has 1248 divisors, whose sum is σ = 54603171840. Its totient is φ = 2654208000.

The previous prime is 12256358399. The next prime is 12256358423. The reversal of 12256358400 is 485365221.

12256358400 is a `hidden beast` number, since 1 + 2 + 2 + 563 + 58 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

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, 395366385 + ... + 395366415.

Almost surely, 2^12256358400 is an apocalyptic number.

12256358400 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 12256358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27301585920).

12256358400 is an abundant number, since it is smaller than the sum of its proper divisors (42346813440).

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

12256358400 is a wasteful number, since it uses less digits than its factorization.

12256358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12256358400 in words is "twelve billion, two hundred fifty-six million, three hundred fifty-eight thousand, four hundred".