122313005729 has 2 divisors, whose sum is σ = 122313005730. Its totient is φ = 122313005728.

The previous prime is 122313005677. The next prime is 122313005743. The reversal of 122313005729 is 927500313221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102753584704 + 19559421025 = 320552^2 + 139855^2 .

It is a cyclic number.

It is not a de Polignac number, because 122313005729 - 2⁸ = 122313005473 is a prime.

It is not a weakly prime, because it can be changed into another prime (122313005429) 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, 61156502864 + 61156502865.

It is an arithmetic number, because the mean of its divisors is an integer number (61156502865).

Almost surely, 2^122313005729 is an apocalyptic number.

It is an amenable number.

122313005729 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313005729 is an equidigital number, since it uses as much as digits as its factorization.

122313005729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 122313005729 in words is "one hundred twenty-two billion, three hundred thirteen million, five thousand, seven hundred twenty-nine".