312525103800 has 384 divisors, whose sum is σ = 1193973580800. Its totient is φ = 65852559360.

The previous prime is 312525103757. The next prime is 312525103811. The reversal of 312525103800 is 8301525213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46788861 + ... + 46795539.

It is an arithmetic number, because the mean of its divisors is an integer number (3109306200).

Almost surely, 2^312525103800 is an apocalyptic number.

312525103800 is a gapful number since it is divisible by the number (30) 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 312525103800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596986790400).

312525103800 is an abundant number, since it is smaller than the sum of its proper divisors (881448477000).

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

312525103800 is a wasteful number, since it uses less digits than its factorization.

312525103800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7575 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 312525103800 in words is "three hundred twelve billion, five hundred twenty-five million, one hundred three thousand, eight hundred".