3122013031200 has 216 divisors, whose sum is σ = 12581712718848. Its totient is φ = 713602967040.

The previous prime is 3122013031157. The next prime is 3122013031219. The reversal of 3122013031200 is 21303102213.

3122013031200 is a `hidden beast` number, since 3 + 1 + 220 + 130 + 312 + 0 + 0 = 666.

3122013031200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3122013031200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30921952 + ... + 31022751.

Almost surely, 2^{3122013031200} is an apocalyptic number.

3122013031200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3122013031200 is an abundant number, since it is smaller than the sum of its proper divisors (9459699687648).

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

3122013031200 is a wasteful number, since it uses less digits than its factorization.

3122013031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61944736 (or 61944720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3122013031200 its reverse (21303102213), we get a palindrome (3143316133413).

The spelling of 3122013031200 in words is "three trillion, one hundred twenty-two billion, thirteen million, thirty-one thousand, two hundred".