122312012129 has 2 divisors, whose sum is σ = 122312012130. Its totient is φ = 122312012128.

The previous prime is 122312012111. The next prime is 122312012143. The reversal of 122312012129 is 921210213221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78037539904 + 44274472225 = 279352^2 + 210415^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312012129 - 2¹⁶ = 122311946593 is a prime.

It is a super-2 number, since 2×122312012129² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122312012098 and 122312012107.

It is not a weakly prime, because it can be changed into another prime (122312012159) 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 as a sum of consecutive naturals, namely, 61156006064 + 61156006065.

It is an arithmetic number, because the mean of its divisors is an integer number (61156006065).

Almost surely, 2^122312012129 is an apocalyptic number.

It is an amenable number.

122312012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312012129 is an equidigital number, since it uses as much as digits as its factorization.

122312012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 122312012129 in words is "one hundred twenty-two billion, three hundred twelve million, twelve thousand, one hundred twenty-nine".