123424300903201 has 9 divisors (see below), whose sum is σ = 123505777256953. Its totient is φ = 123342878285680.

The previous prime is 123424300903157. The next prime is 123424300903207. The reversal of 123424300903201 is 102309003424321.

The square root of 123424300903201 is 11109649.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 73047807333601 + 50376493569600 = 8546801^2 + 7097640^2 .

It is not a de Polignac number, because 123424300903201 - 2²⁵ = 123424267348769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123424300903207) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23785755915 + ... + 23785761103.

Almost surely, 2^{123424300903201} is an apocalyptic number.

123424300903201 is the 11109649-th square number.

123424300903201 is the 5554825-th centered octagonal number.

It is an amenable number.

123424300903201 is a deficient number, since it is larger than the sum of its proper divisors (81476353752).

123424300903201 is an frugal number, since it uses more digits than its factorization.

123424300903201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 123424300903201 in words is "one hundred twenty-three trillion, four hundred twenty-four billion, three hundred million, nine hundred three thousand, two hundred one".