123820254777025 has 9 divisors (see below), whose sum is σ = 153537184913763. Its totient is φ = 99056159311800.

The previous prime is 123820254777019. The next prime is 123820254777097. The reversal of 123820254777025 is 520777452028321.

The square root of 123820254777025 is 11127455.

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

It can be written as a sum of positive squares in only one way, i.e., 44575291719729 + 79244963057296 = 6676473^2 + 8901964^2 .

It is not a de Polignac number, because 123820254777025 - 2¹¹ = 123820254774977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54524530 + ... + 56750020.

Almost surely, 2^{123820254777025} is an apocalyptic number.

123820254777025 is the 11127455-th square number.

123820254777025 is the 5563728-th centered octagonal number.

It is an amenable number.

123820254777025 is a deficient number, since it is larger than the sum of its proper divisors (29716930136738).

123820254777025 is an frugal number, since it uses more digits than its factorization.

123820254777025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450992 (or 2225496 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 55.

The spelling of 123820254777025 in words is "one hundred twenty-three trillion, eight hundred twenty billion, two hundred fifty-four million, seven hundred seventy-seven thousand, twenty-five".