120252825 has 108 divisors (see below), whose sum is σ = 270996544. Its totient is φ = 49896000.

The previous prime is 120252817. The next prime is 120252829. The reversal of 120252825 is 528252021.

It is not a de Polignac number, because 120252825 - 2³ = 120252817 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (120252829) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 190260 + ... + 190890.

Almost surely, 2^120252825 is an apocalyptic number.

120252825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120252825 is an abundant number, since it is smaller than the sum of its proper divisors (150743719).

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

120252825 is a wasteful number, since it uses less digits than its factorization.

120252825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 120252825 is about 10965.9849078868. The cubic root of 120252825 is about 493.5885719142.

The spelling of 120252825 in words is "one hundred twenty million, two hundred fifty-two thousand, eight hundred twenty-five".