123968205078233 has 2 divisors, whose sum is σ = 123968205078234. Its totient is φ = 123968205078232.

The previous prime is 123968205078083. The next prime is 123968205078251. The reversal of 123968205078233 is 332870502869321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98796681881104 + 25171523197129 = 9939652^2 + 5017123^2 .

It is a cyclic number.

It is not a de Polignac number, because 123968205078233 - 2³⁸ = 123693327171289 is a prime.

It is not a weakly prime, because it can be changed into another prime (123968205078293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61984102539116 + 61984102539117.

It is an arithmetic number, because the mean of its divisors is an integer number (61984102539117).

Almost surely, 2^{123968205078233} is an apocalyptic number.

It is an amenable number.

123968205078233 is a deficient number, since it is larger than the sum of its proper divisors (1).

123968205078233 is an equidigital number, since it uses as much as digits as its factorization.

123968205078233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 123968205078233 in words is "one hundred twenty-three trillion, nine hundred sixty-eight billion, two hundred five million, seventy-eight thousand, two hundred thirty-three".