122282057514193 has 2 divisors, whose sum is σ = 122282057514194. Its totient is φ = 122282057514192.

The previous prime is 122282057514161. The next prime is 122282057514341. The reversal of 122282057514193 is 391415750282221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105438970649104 + 16843086865089 = 10268348^2 + 4104033^2 .

It is a cyclic number.

It is not a de Polignac number, because 122282057514193 - 2⁵ = 122282057514161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122282057514193.

It is not a weakly prime, because it can be changed into another prime (122282057514493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61141028757096 + 61141028757097.

It is an arithmetic number, because the mean of its divisors is an integer number (61141028757097).

Almost surely, 2^{122282057514193} is an apocalyptic number.

It is an amenable number.

122282057514193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122282057514193 is an equidigital number, since it uses as much as digits as its factorization.

122282057514193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 122282057514193 in words is "one hundred twenty-two trillion, two hundred eighty-two billion, fifty-seven million, five hundred fourteen thousand, one hundred ninety-three".