122732205663601 has 2 divisors, whose sum is σ = 122732205663602. Its totient is φ = 122732205663600.

The previous prime is 122732205663563. The next prime is 122732205663619. The reversal of 122732205663601 is 106366502237221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121715526690576 + 1016678973025 = 11032476^2 + 1008305^2 .

It is an emirp because it is prime and its reverse (106366502237221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122732205663601 - 2²⁷ = 122732071445873 is a prime.

It is not a weakly prime, because it can be changed into another prime (122732205663101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61366102831800 + 61366102831801.

It is an arithmetic number, because the mean of its divisors is an integer number (61366102831801).

Almost surely, 2^{122732205663601} is an apocalyptic number.

It is an amenable number.

122732205663601 is a deficient number, since it is larger than the sum of its proper divisors (1).

122732205663601 is an equidigital number, since it uses as much as digits as its factorization.

122732205663601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 122732205663601 in words is "one hundred twenty-two trillion, seven hundred thirty-two billion, two hundred five million, six hundred sixty-three thousand, six hundred one".