312000920 has 96 divisors (see below), whose sum is σ = 881949600. Its totient is φ = 97236480.

The previous prime is 312000893. The next prime is 312000947. The reversal of 312000920 is 29000213.

It is an interprime number because it is at equal distance from previous prime (312000893) and next prime (312000947).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29276 + ... + 38484.

It is an arithmetic number, because the mean of its divisors is an integer number (9186975).

Almost surely, 2^312000920 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 312000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440974800).

312000920 is an abundant number, since it is smaller than the sum of its proper divisors (569948680).

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

312000920 is a wasteful number, since it uses less digits than its factorization.

312000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 312000920 is about 17663.5477750083. The cubic root of 312000920 is about 678.2429552506.

The spelling of 312000920 in words is "three hundred twelve million, nine hundred twenty", and thus it is an aban number.