3121120031200 has 72 divisors (see below), whose sum is σ = 7620286926672. Its totient is φ = 1248308305920.

The previous prime is 3121120031177. The next prime is 3121120031209. The reversal of 3121120031200 is 21300211213.

It is a super-4 number, since 4×3121120031200⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121120031209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7087872 + ... + 7515328.

It is an arithmetic number, because the mean of its divisors is an integer number (105837318426).

Almost surely, 2^{3121120031200} is an apocalyptic number.

It is an amenable number.

3121120031200 is an abundant number, since it is smaller than the sum of its proper divisors (4499166895472).

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

3121120031200 is a wasteful number, since it uses less digits than its factorization.

3121120031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436604 (or 436591 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3121120031200 its reverse (21300211213), we get a palindrome (3142420242413).

The spelling of 3121120031200 in words is "three trillion, one hundred twenty-one billion, one hundred twenty million, thirty-one thousand, two hundred".