120577825 has 12 divisors (see below), whose sum is σ = 149655600. Its totient is φ = 96372560.

The previous prime is 120577813. The next prime is 120577829. The reversal of 120577825 is 528775021.

It is not a de Polignac number, because 120577825 - 2¹⁵ = 120545057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120577829) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 43326 + ... + 46024.

It is an arithmetic number, because the mean of its divisors is an integer number (12471300).

Almost surely, 2^120577825 is an apocalyptic number.

It is an amenable number.

120577825 is a deficient number, since it is larger than the sum of its proper divisors (29077775).

120577825 is a wasteful number, since it uses less digits than its factorization.

120577825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 120577825 is about 10980.7934594910. The cubic root of 120577825 is about 494.0328358686.

The spelling of 120577825 in words is "one hundred twenty million, five hundred seventy-seven thousand, eight hundred twenty-five".