312314403003120 has 480 divisors, whose sum is σ = 1219258327472640. Its totient is φ = 70161875343360.

The previous prime is 312314403002957. The next prime is 312314403003143. The reversal of 312314403003120 is 21300304413213.

It is a happy number.

312314403003120 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 4 + 40 + 300 + 312 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1489966162 + ... + 1490175758.

It is an arithmetic number, because the mean of its divisors is an integer number (2540121515568).

Almost surely, 2^{312314403003120} is an apocalyptic number.

312314403003120 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 312314403003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609629163736320).

312314403003120 is an abundant number, since it is smaller than the sum of its proper divisors (906943924469520).

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

312314403003120 is a wasteful number, since it uses less digits than its factorization.

312314403003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214693 (or 214684 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312314403003120 its reverse (21300304413213), we get a palindrome (333614707416333).

The spelling of 312314403003120 in words is "three hundred twelve trillion, three hundred fourteen billion, four hundred three million, three thousand, one hundred twenty".