312031120 has 80 divisors (see below), whose sum is σ = 765093888. Its totient is φ = 118172160.

The previous prime is 312030997. The next prime is 312031121. The reversal of 312031120 is 21130213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 312031120.

It is not an unprimeable number, because it can be changed into a prime (312031121) 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 15 ways as a sum of consecutive naturals, for example, 115222 + ... + 117898.

Almost surely, 2^312031120 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 312031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382546944).

312031120 is an abundant number, since it is smaller than the sum of its proper divisors (453062768).

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

312031120 is a wasteful number, since it uses less digits than its factorization.

312031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312031120 is about 17664.4026222230. The cubic root of 312031120 is about 678.2648379600.

Adding to 312031120 its reverse (21130213), we get a palindrome (333161333).

It can be divided in two parts, 31203 and 1120, that added together give a palindrome (32323).

The spelling of 312031120 in words is "three hundred twelve million, thirty-one thousand, one hundred twenty".