12312576000 has 408 divisors, whose sum is σ = 44656413984. Its totient is φ = 3263692800.

The previous prime is 12312575963. The next prime is 12312576013. The reversal of 12312576000 is 67521321.

It is a happy number.

12312576000 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 57 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73727917 + ... + 73728083.

Almost surely, 2^12312576000 is an apocalyptic number.

12312576000 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 12312576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22328206992).

12312576000 is an abundant number, since it is smaller than the sum of its proper divisors (32343837984).

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

12312576000 is an frugal number, since it uses more digits than its factorization.

12312576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 12312576000 in words is "twelve billion, three hundred twelve million, five hundred seventy-six thousand".