222312023122113 has 48 divisors (see below), whose sum is σ = 343414535864400. Its totient is φ = 138326412994560.

The previous prime is 222312023122069. The next prime is 222312023122169. The reversal of 222312023122113 is 311221320213222.

222312023122113 is a `hidden beast` number, since 2 + 2 + 2 + 31 + 202 + 312 + 2 + 113 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37175262511104 + 185136760611009 = 6097152^2 + 13606497^2 .

It is not a de Polignac number, because 222312023122113 - 2⁴⁶ = 151943278944449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222312023122213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94131220 + ... + 96464037.

It is an arithmetic number, because the mean of its divisors is an integer number (7154469497175).

Almost surely, 2^{222312023122113} is an apocalyptic number.

It is an amenable number.

222312023122113 is a deficient number, since it is larger than the sum of its proper divisors (121102512742287).

222312023122113 is a wasteful number, since it uses less digits than its factorization.

222312023122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190595442 (or 190595439 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 222312023122113 its reverse (311221320213222), we get a palindrome (533533343335335).

The spelling of 222312023122113 in words is "two hundred twenty-two trillion, three hundred twelve billion, twenty-three million, one hundred twenty-two thousand, one hundred thirteen".