12722418120961 has 2 divisors, whose sum is σ = 12722418120962. Its totient is φ = 12722418120960.

The previous prime is 12722418120821. The next prime is 12722418121013. The reversal of 12722418120961 is 16902181422721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7824411756225 + 4898006364736 = 2797215^2 + 2213144^2 .

It is a cyclic number.

It is not a de Polignac number, because 12722418120961 - 2⁴³ = 3926325098753 is a prime.

It is not a weakly prime, because it can be changed into another prime (12722418127961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6361209060480 + 6361209060481.

It is an arithmetic number, because the mean of its divisors is an integer number (6361209060481).

Almost surely, 2^{12722418120961} is an apocalyptic number.

It is an amenable number.

12722418120961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12722418120961 is an equidigital number, since it uses as much as digits as its factorization.

12722418120961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 12722418120961 in words is "twelve trillion, seven hundred twenty-two billion, four hundred eighteen million, one hundred twenty thousand, nine hundred sixty-one".