122353703113553 has 2 divisors, whose sum is σ = 122353703113554. Its totient is φ = 122353703113552.

The previous prime is 122353703113487. The next prime is 122353703113589. The reversal of 122353703113553 is 355311307353221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109416035084944 + 12937668028609 = 10460212^2 + 3596897^2 .

It is an emirp because it is prime and its reverse (355311307353221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122353703113553 - 2²⁰ = 122353702064977 is a prime.

It is not a weakly prime, because it can be changed into another prime (122353703113753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61176851556776 + 61176851556777.

It is an arithmetic number, because the mean of its divisors is an integer number (61176851556777).

Almost surely, 2^{122353703113553} is an apocalyptic number.

It is an amenable number.

122353703113553 is a deficient number, since it is larger than the sum of its proper divisors (1).

122353703113553 is an equidigital number, since it uses as much as digits as its factorization.

122353703113553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 850500, while the sum is 44.

The spelling of 122353703113553 in words is "one hundred twenty-two trillion, three hundred fifty-three billion, seven hundred three million, one hundred thirteen thousand, five hundred fifty-three".