312330332032 has 64 divisors (see below), whose sum is σ = 655097040000. Its totient is φ = 147917035008.

The previous prime is 312330332029. The next prime is 312330332033. The reversal of 312330332032 is 230233033213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 312330331988 and 312330332006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312330332033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17401719 + ... + 17419657.

It is an arithmetic number, because the mean of its divisors is an integer number (10235891250).

Almost surely, 2^312330332032 is an apocalyptic number.

312330332032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312330332032 is an abundant number, since it is smaller than the sum of its proper divisors (342766707968).

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

312330332032 is a wasteful number, since it uses less digits than its factorization.

312330332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25131 (or 25119 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 312330332032 its reverse (230233033213), we get a palindrome (542563365245).

The spelling of 312330332032 in words is "three hundred twelve billion, three hundred thirty million, three hundred thirty-two thousand, thirty-two".