312333120 has 168 divisors, whose sum is σ = 1172077920. Its totient is φ = 75709440.

The previous prime is 312333083. The next prime is 312333127. The reversal of 312333120 is 21333213.

312333120 is a `hidden beast` number, since 312 + 3 + 331 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312333093 and 312333102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312333127) 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 23 ways as a sum of consecutive naturals, for example, 26751 + ... + 36609.

Almost surely, 2^312333120 is an apocalyptic number.

312333120 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 312333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586038960).

312333120 is an abundant number, since it is smaller than the sum of its proper divisors (859744800).

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

312333120 is a wasteful number, since it uses less digits than its factorization.

312333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9893 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 312333120 is about 17672.9488201601. The cubic root of 312333120 is about 678.4835874370.

Adding to 312333120 its reverse (21333213), we get a palindrome (333666333).

The spelling of 312333120 in words is "three hundred twelve million, three hundred thirty-three thousand, one hundred twenty".