312501432400 has 240 divisors, whose sum is σ = 836096200704. Its totient is φ = 111639306240.

The previous prime is 312501432391. The next prime is 312501432401. The reversal of 312501432400 is 4234105213.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312501432401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19854934 + ... + 19870666.

Almost surely, 2^312501432400 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 312501432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418048100352).

312501432400 is an abundant number, since it is smaller than the sum of its proper divisors (523594768304).

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

312501432400 is a wasteful number, since it uses less digits than its factorization.

312501432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15918 (or 15907 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 312501432400 its reverse (4234105213), we get a palindrome (316735537613).

The spelling of 312501432400 in words is "three hundred twelve billion, five hundred one million, four hundred thirty-two thousand, four hundred".