312412500400 has 480 divisors, whose sum is σ = 1024360436736. Its totient is φ = 88404480000.

The previous prime is 312412500391. The next prime is 312412500437. The reversal of 312412500400 is 4005214213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24418005 + ... + 24430795.

Almost surely, 2^312412500400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312412500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512180218368).

312412500400 is an abundant number, since it is smaller than the sum of its proper divisors (711947936336).

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

312412500400 is a wasteful number, since it uses less digits than its factorization.

312412500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12901 (or 12890 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 312412500400 its reverse (4005214213), we get a palindrome (316417714613).

The spelling of 312412500400 in words is "three hundred twelve billion, four hundred twelve million, five hundred thousand, four hundred".