120036825 has 36 divisors (see below), whose sum is σ = 219593088. Its totient is φ = 62652000.

The previous prime is 120036817. The next prime is 120036853. The reversal of 120036825 is 528630021.

It is not a de Polignac number, because 120036825 - 2³ = 120036817 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4900 + ... + 16250.

It is an arithmetic number, because the mean of its divisors is an integer number (6099808).

Almost surely, 2^120036825 is an apocalyptic number.

120036825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120036825 is a deficient number, since it is larger than the sum of its proper divisors (99556263).

120036825 is a wasteful number, since it uses less digits than its factorization.

120036825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11414 (or 11406 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 120036825 is about 10956.1318447708. The cubic root of 120036825 is about 493.2928642946.

Adding to 120036825 its reverse (528630021), we get a palindrome (648666846).

It can be divided in two parts, 1200 and 36825, that added together give a square (38025 = 195²).

The spelling of 120036825 in words is "one hundred twenty million, thirty-six thousand, eight hundred twenty-five".