122105133 has 12 divisors (see below), whose sum is σ = 176473180. Its totient is φ = 81357696.

The previous prime is 122105119. The next prime is 122105141. The reversal of 122105133 is 331501221.

It can be written as a sum of positive squares in 2 ways, for example, as 25220484 + 96884649 = 5022^2 + 9843^2 .

It is not a de Polignac number, because 122105133 - 2²⁴ = 105327917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23103 + ... + 27891.

Almost surely, 2^122105133 is an apocalyptic number.

It is an amenable number.

122105133 is a deficient number, since it is larger than the sum of its proper divisors (54368047).

122105133 is a wasteful number, since it uses less digits than its factorization.

122105133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 122105133 is about 11050.1191396292. The cubic root of 122105133 is about 496.1099914865.

Adding to 122105133 its reverse (331501221), we get a palindrome (453606354).

The spelling of 122105133 in words is "one hundred twenty-two million, one hundred five thousand, one hundred thirty-three".