122133165 has 48 divisors (see below), whose sum is σ = 245503104. Its totient is φ = 50751360.

The previous prime is 122133133. The next prime is 122133203. The reversal of 122133165 is 561331221.

It is not a de Polignac number, because 122133165 - 2⁵ = 122133133 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7899 + ... + 17511.

It is an arithmetic number, because the mean of its divisors is an integer number (5114648).

Almost surely, 2^122133165 is an apocalyptic number.

122133165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122133165 is an abundant number, since it is smaller than the sum of its proper divisors (123369939).

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

122133165 is a wasteful number, since it uses less digits than its factorization.

122133165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9650 (or 9639 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 122133165 is about 11051.3874694538. The cubic root of 122133165 is about 496.1479530116.

Adding to 122133165 its reverse (561331221), we get a palindrome (683464386).

The spelling of 122133165 in words is "one hundred twenty-two million, one hundred thirty-three thousand, one hundred sixty-five".