312280989120 has 112 divisors (see below), whose sum is σ = 1101657964320. Its totient is φ = 83274928128.

The previous prime is 312280989077. The next prime is 312280989193. The reversal of 312280989120 is 21989082213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18063177 + ... + 18080456.

Almost surely, 2^312280989120 is an apocalyptic number.

312280989120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312280989120 is an abundant number, since it is smaller than the sum of its proper divisors (789376975200).

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

312280989120 is a wasteful number, since it uses less digits than its factorization.

312280989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36143659 (or 36143643 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 312280989120 in words is "three hundred twelve billion, two hundred eighty million, nine hundred eighty-nine thousand, one hundred twenty".