122353703105873 has 2 divisors, whose sum is σ = 122353703105874. Its totient is φ = 122353703105872.

The previous prime is 122353703105849. The next prime is 122353703105897. The reversal of 122353703105873 is 378501307353221.

It is a balanced prime because it is at equal distance from previous prime (122353703105849) and next prime (122353703105897).

It can be written as a sum of positive squares in only one way, i.e., 84985019687824 + 37368683418049 = 9218732^2 + 6112993^2 .

It is a cyclic number.

It is not a de Polignac number, because 122353703105873 - 2¹⁴ = 122353703089489 is a prime.

It is not a weakly prime, because it can be changed into another prime (122353703105173) 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, 61176851552936 + 61176851552937.

It is an arithmetic number, because the mean of its divisors is an integer number (61176851552937).

Almost surely, 2^{122353703105873} is an apocalyptic number.

It is an amenable number.

122353703105873 is a deficient number, since it is larger than the sum of its proper divisors (1).

122353703105873 is an equidigital number, since it uses as much as digits as its factorization.

122353703105873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 122353703105873 in words is "one hundred twenty-two trillion, three hundred fifty-three billion, seven hundred three million, one hundred five thousand, eight hundred seventy-three".