122202312320133 has 48 divisors (see below), whose sum is σ = 193146602029056. Its totient is φ = 74117930549760.

The previous prime is 122202312320063. The next prime is 122202312320237. The reversal of 122202312320133 is 331023213202221.

122202312320133 is a `hidden beast` number, since 1 + 2 + 2 + 20 + 2 + 312 + 320 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 122202312320133 - 2¹² = 122202312316037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122202312320097 and 122202312320106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202312320633) 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, 10529541 + ... + 18848762.

It is an arithmetic number, because the mean of its divisors is an integer number (4023887542272).

Almost surely, 2^{122202312320133} is an apocalyptic number.

It is an amenable number.

122202312320133 is a deficient number, since it is larger than the sum of its proper divisors (70944289708923).

122202312320133 is a wasteful number, since it uses less digits than its factorization.

122202312320133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29379234 (or 29379231 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122202312320133 its reverse (331023213202221), we get a palindrome (453225525522354).

The spelling of 122202312320133 in words is "one hundred twenty-two trillion, two hundred two billion, three hundred twelve million, three hundred twenty thousand, one hundred thirty-three".