120890025 has 27 divisors (see below), whose sum is σ = 216823269. Its totient is φ = 64386720.

The previous prime is 120890023. The next prime is 120890039. The reversal of 120890025 is 520098021.

The square root of 120890025 is 10995.

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 27342441 + 93547584 = 5229^2 + 9672^2 .

It is not a de Polignac number, because 120890025 - 2¹ = 120890023 is a prime.

It is a super-2 number, since 2×120890025² = 29228796289001250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120890023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 164559 + ... + 165291.

Almost surely, 2^120890025 is an apocalyptic number.

120890025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120890025 is the 10995-th square number.

120890025 is the 5498-th centered octagonal number.

It is an amenable number.

120890025 is a deficient number, since it is larger than the sum of its proper divisors (95933244).

120890025 is an frugal number, since it uses more digits than its factorization.

120890025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 120890025 is about 494.4588515302.

The spelling of 120890025 in words is "one hundred twenty million, eight hundred ninety thousand, twenty-five".