3121344320004 has 72 divisors (see below), whose sum is σ = 8357491160928. Its totient is φ = 978857890560.

The previous prime is 3121344319993. The next prime is 3121344320051. The reversal of 3121344320004 is 4000234431213.

3121344320004 is a `hidden beast` number, since 3 + 1 + 2 + 13 + 443 + 200 + 0 + 4 = 666.

3121344320004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3121344320004.

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, 541419 + ... + 2556525.

It is an arithmetic number, because the mean of its divisors is an integer number (116076266124).

Almost surely, 2^{3121344320004} is an apocalyptic number.

3121344320004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3121344320004 is an abundant number, since it is smaller than the sum of its proper divisors (5236146840924).

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

3121344320004 is a wasteful number, since it uses less digits than its factorization.

3121344320004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017665 (or 2017660 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3121344320004 its reverse (4000234431213), we get a palindrome (7121578751217).

The spelling of 3121344320004 in words is "three trillion, one hundred twenty-one billion, three hundred forty-four million, three hundred twenty thousand, four".