3120022200213 has 48 divisors (see below), whose sum is σ = 4630453102080. Its totient is φ = 2023643664000.

The previous prime is 3120022200161. The next prime is 3120022200259.

3120022200213 is a `hidden beast` number, since 31 + 200 + 2 + 220 + 0 + 213 = 666.

3120022200213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3120022200213 - 2¹² = 3120022196117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120022205213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138946695 + ... + 138969147.

It is an arithmetic number, because the mean of its divisors is an integer number (96467772960).

Almost surely, 2^{3120022200213} is an apocalyptic number.

It is an amenable number.

3120022200213 is a deficient number, since it is larger than the sum of its proper divisors (1510430901867).

3120022200213 is a wasteful number, since it uses less digits than its factorization.

3120022200213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25210 (or 25207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 3120022200213 in words is "three trillion, one hundred twenty billion, twenty-two million, two hundred thousand, two hundred thirteen".