120245965225 has 27 divisors (see below), whose sum is σ = 150259772919. Its totient is φ = 95457469200.

The previous prime is 120245965199. The next prime is 120245965243. The reversal of 120245965225 is 522569542021.

The square root of 120245965225 is 346765.

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., 43288547481 + 76957417744 = 208059^2 + 277412^2 .

It is not a de Polignac number, because 120245965225 - 2¹³ = 120245957033 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, 386642820 + ... + 386643130.

Almost surely, 2^120245965225 is an apocalyptic number.

120245965225 is the 346765-th square number.

120245965225 is the 173383-rd centered octagonal number.

It is an amenable number.

120245965225 is a deficient number, since it is larger than the sum of its proper divisors (30013807694).

120245965225 is an frugal number, since it uses more digits than its factorization.

120245965225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 120245965225 in words is "one hundred twenty billion, two hundred forty-five million, nine hundred sixty-five thousand, two hundred twenty-five".