312334021132320 has 144 divisors (see below), whose sum is σ = 1081424282460480. Its totient is φ = 75717338442240.

The previous prime is 312334021132303. The next prime is 312334021132361. The reversal of 312334021132320 is 23231120433213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2688767860 + ... + 2688884019.

It is an arithmetic number, because the mean of its divisors is an integer number (7509890850420).

Almost surely, 2^{312334021132320} is an apocalyptic number.

312334021132320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312334021132320 is an abundant number, since it is smaller than the sum of its proper divisors (769090261328160).

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

312334021132320 is a wasteful number, since it uses less digits than its factorization.

312334021132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377651919 (or 5377651900 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 312334021132320 its reverse (23231120433213), we get a palindrome (335565141565533).

The spelling of 312334021132320 in words is "three hundred twelve trillion, three hundred thirty-four billion, twenty-one million, one hundred thirty-two thousand, three hundred twenty".