3122444442213 has 24 divisors (see below), whose sum is σ = 4592635339968. Its totient is φ = 2043925736832.

The previous prime is 3122444442191. The next prime is 3122444442269.

3122444442213 is a `hidden beast` number, since 3 + 1 + 224 + 4 + 4 + 4 + 422 + 1 + 3 = 666.

3122444442213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3122444442213 - 2³⁶ = 3053724965477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122444442413) 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 23 ways as a sum of consecutive naturals, for example, 14238145 + ... + 14455782.

It is an arithmetic number, because the mean of its divisors is an integer number (191359805832).

Almost surely, 2^{3122444442213} is an apocalyptic number.

It is an amenable number.

3122444442213 is a deficient number, since it is larger than the sum of its proper divisors (1470190897755).

3122444442213 is a wasteful number, since it uses less digits than its factorization.

3122444442213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28694153 (or 28694150 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 3122444442213 in words is "three trillion, one hundred twenty-two billion, four hundred forty-four million, four hundred forty-two thousand, two hundred thirteen".