123181075097809 has 9 divisors (see below), whose sum is σ = 123257225902161. Its totient is φ = 123104971332480.

The previous prime is 123181075097771. The next prime is 123181075097837. The reversal of 123181075097809 is 908790570181321.

The square root of 123181075097809 is 11098697.

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 113808464291025 + 9372610806784 = 10668105^2 + 3061472^2 .

It is not a de Polignac number, because 123181075097809 - 2¹⁹ = 123181074573521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123181075097849) 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, 29045287929 + ... + 29045292169.

Almost surely, 2^{123181075097809} is an apocalyptic number.

123181075097809 is the 11098697-th square number.

123181075097809 is the 5549349-th centered octagonal number.

It is an amenable number.

123181075097809 is a deficient number, since it is larger than the sum of its proper divisors (76150804352).

123181075097809 is an frugal number, since it uses more digits than its factorization.

123181075097809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13716 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 61.

The spelling of 123181075097809 in words is "one hundred twenty-three trillion, one hundred eighty-one billion, seventy-five million, ninety-seven thousand, eight hundred nine".