312333312 has 88 divisors (see below), whose sum is σ = 837730656. Its totient is φ = 103456768.

The previous prime is 312333311. The next prime is 312333313. The reversal of 312333312 is 213333213.

312333312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312333311) and next prime (312333313).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312333311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 899923 + ... + 900269.

Almost surely, 2^312333312 is an apocalyptic number.

312333312 is a gapful number since it is divisible by the number (32) 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 312333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418865328).

312333312 is an abundant number, since it is smaller than the sum of its proper divisors (525397344).

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

312333312 is a wasteful number, since it uses less digits than its factorization.

312333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 645 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 312333312 is about 17672.9542521900. The cubic root of 312333312 is about 678.4837264646.

Adding to 312333312 its reverse (213333213), we get a palindrome (525666525).

Subtracting from 312333312 its reverse (213333213), we obtain a palindrome (99000099).

The spelling of 312333312 in words is "three hundred twelve million, three hundred thirty-three thousand, three hundred twelve".