120863999025 has 405 divisors, whose sum is σ = 284197602507. Its totient is φ = 49061073600.

The previous prime is 120863999023. The next prime is 120863999093. The reversal of 120863999025 is 520999368021.

It is a happy number.

The square root of 120863999025 is 347655.

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., 43511039649 + 77352959376 = 208593^2 + 278124^2 .

It is not a de Polignac number, because 120863999025 - 2¹ = 120863999023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120863999023) 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 404 ways as a sum of consecutive naturals, for example, 2810790654 + ... + 2810790696.

Almost surely, 2^120863999025 is an apocalyptic number.

120863999025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120863999025 is the 347655-th square number.

120863999025 is the 173828-th centered octagonal number.

It is an amenable number.

120863999025 is an abundant number, since it is smaller than the sum of its proper divisors (163333603482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120863999025 is an equidigital number, since it uses as much as digits as its factorization.

120863999025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 120863999025 in words is "one hundred twenty billion, eight hundred sixty-three million, nine hundred ninety-nine thousand, twenty-five".