122331104029217 has 2 divisors, whose sum is σ = 122331104029218. Its totient is φ = 122331104029216.

The previous prime is 122331104029181. The next prime is 122331104029241. The reversal of 122331104029217 is 712920401133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118532343209536 + 3798760819681 = 10887256^2 + 1949041^2 .

It is a cyclic number.

It is not a de Polignac number, because 122331104029217 - 2²² = 122331099834913 is a prime.

It is a super-2 number, since 2×122331104029217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122331104829217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61165552014608 + 61165552014609.

It is an arithmetic number, because the mean of its divisors is an integer number (61165552014609).

Almost surely, 2^{122331104029217} is an apocalyptic number.

It is an amenable number.

122331104029217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122331104029217 is an equidigital number, since it uses as much as digits as its factorization.

122331104029217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 122331104029217 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, one hundred four million, twenty-nine thousand, two hundred seventeen".