120294517225 has 27 divisors (see below), whose sum is σ = 151450726021. Its totient is φ = 94783068800.

The previous prime is 120294517193. The next prime is 120294517261. The reversal of 120294517225 is 522715492021.

The square root of 120294517225 is 346835.

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 17122507609 + 103172009616 = 130853^2 + 321204^2 .

It is not a de Polignac number, because 120294517225 - 2⁵ = 120294517193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123125937 + ... + 123126913.

Almost surely, 2^120294517225 is an apocalyptic number.

120294517225 is the 346835-th square number.

120294517225 is the 173418-th centered octagonal number.

It is an amenable number.

120294517225 is a deficient number, since it is larger than the sum of its proper divisors (31156208796).

120294517225 is an frugal number, since it uses more digits than its factorization.

120294517225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

It can be divided in two parts, 12029 and 4517225, that added together give a palindrome (4529254).

The spelling of 120294517225 in words is "one hundred twenty billion, two hundred ninety-four million, five hundred seventeen thousand, two hundred twenty-five".