122906313 has 12 divisors (see below), whose sum is σ = 177634548. Its totient is φ = 81889920.

The previous prime is 122906297. The next prime is 122906323. The reversal of 122906313 is 313609221.

122906313 is a `hidden beast` number, since 1 + 2 + 29 + 0 + 631 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 119836809 = 1752^2 + 10947^2 .

It is not a de Polignac number, because 122906313 - 2⁴ = 122906297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122906323) 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, 19981 + ... + 25397.

It is an arithmetic number, because the mean of its divisors is an integer number (14802879).

Almost surely, 2^122906313 is an apocalyptic number.

It is an amenable number.

122906313 is a deficient number, since it is larger than the sum of its proper divisors (54728235).

122906313 is a wasteful number, since it uses less digits than its factorization.

122906313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 122906313 is about 11086.3119656629. The cubic root of 122906313 is about 497.1926847954.

The spelling of 122906313 in words is "one hundred twenty-two million, nine hundred six thousand, three hundred thirteen".