122311223251409 has 2 divisors, whose sum is σ = 122311223251410. Its totient is φ = 122311223251408.

The previous prime is 122311223251339. The next prime is 122311223251411. The reversal of 122311223251409 is 904152322113221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110830951306384 + 11480271945025 = 10527628^2 + 3388255^2 .

It is a cyclic number.

It is not a de Polignac number, because 122311223251409 - 2⁸ = 122311223251153 is a prime.

Together with 122311223251411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122311223251439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155611625704 + 61155611625705.

It is an arithmetic number, because the mean of its divisors is an integer number (61155611625705).

Almost surely, 2^{122311223251409} is an apocalyptic number.

It is an amenable number.

122311223251409 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311223251409 is an equidigital number, since it uses as much as digits as its factorization.

122311223251409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 122311223251409 in words is "one hundred twenty-two trillion, three hundred eleven billion, two hundred twenty-three million, two hundred fifty-one thousand, four hundred nine".