123112431123301 has 2 divisors, whose sum is σ = 123112431123302. Its totient is φ = 123112431123300.

The previous prime is 123112431123281. The next prime is 123112431123313. The reversal of 123112431123301 is 103321134211321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110596225392676 + 12516205730625 = 10516474^2 + 3537825^2 .

It is a cyclic number.

It is not a de Polignac number, because 123112431123301 - 2¹⁵ = 123112431090533 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123112431123301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123112431123391) 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, 61556215561650 + 61556215561651.

It is an arithmetic number, because the mean of its divisors is an integer number (61556215561651).

Almost surely, 2^{123112431123301} is an apocalyptic number.

It is an amenable number.

123112431123301 is a deficient number, since it is larger than the sum of its proper divisors (1).

123112431123301 is an equidigital number, since it uses as much as digits as its factorization.

123112431123301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 123112431123301 its reverse (103321134211321), we get a palindrome (226433565334622).

The spelling of 123112431123301 in words is "one hundred twenty-three trillion, one hundred twelve billion, four hundred thirty-one million, one hundred twenty-three thousand, three hundred one".