123241242142321 has 2 divisors, whose sum is σ = 123241242142322. Its totient is φ = 123241242142320.

The previous prime is 123241242142259. The next prime is 123241242142349.

It is a happy number.

123241242142321 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76752299983921 + 46488942158400 = 8760839^2 + 6818280^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 123241242142321 - 2²¹ = 123241240045169 is a prime.

It is not a weakly prime, because it can be changed into another prime (123241242142121) 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, 61620621071160 + 61620621071161.

It is an arithmetic number, because the mean of its divisors is an integer number (61620621071161).

Almost surely, 2^{123241242142321} is an apocalyptic number.

It is an amenable number.

123241242142321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123241242142321 is an equidigital number, since it uses as much as digits as its factorization.

123241242142321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36864, while the sum is 34.

The spelling of 123241242142321 in words is "one hundred twenty-three trillion, two hundred forty-one billion, two hundred forty-two million, one hundred forty-two thousand, three hundred twenty-one".