122232330124181 has 2 divisors, whose sum is σ = 122232330124182. Its totient is φ = 122232330124180.

The previous prime is 122232330124171. The next prime is 122232330124183. The reversal of 122232330124181 is 181421033232221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86337361404100 + 35894968720081 = 9291790^2 + 5991241^2 .

It is a cyclic number.

It is not a de Polignac number, because 122232330124181 - 2³⁰ = 122231256382357 is a prime.

It is a super-2 number, since 2×122232330124181² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 122232330124183, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122232330124183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116165062090 + 61116165062091.

It is an arithmetic number, because the mean of its divisors is an integer number (61116165062091).

Almost surely, 2^{122232330124181} is an apocalyptic number.

It is an amenable number.

122232330124181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122232330124181 is an equidigital number, since it uses as much as digits as its factorization.

122232330124181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 122232330124181 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, three hundred thirty million, one hundred twenty-four thousand, one hundred eighty-one".