312120900 has 432 divisors, whose sum is σ = 1248642304. Its totient is φ = 63452160.

The previous prime is 312120859. The next prime is 312120911. The reversal of 312120900 is 9021213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3030249 + ... + 3030351.

Almost surely, 2^312120900 is an apocalyptic number.

312120900 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 312120900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624321152).

312120900 is an abundant number, since it is smaller than the sum of its proper divisors (936521404).

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

312120900 is a wasteful number, since it uses less digits than its factorization.

312120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 312120900 is about 17666.9437085196. The cubic root of 312120900 is about 678.3298835851.

The spelling of 312120900 in words is "three hundred twelve million, one hundred twenty thousand, nine hundred".