120085600 has 36 divisors (see below), whose sum is σ = 293160924. Its totient is φ = 48033920.

The previous prime is 120085577. The next prime is 120085613. The reversal of 120085600 is 6580021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74254 + ... + 75853.

It is an arithmetic number, because the mean of its divisors is an integer number (8143359).

Almost surely, 2^120085600 is an apocalyptic number.

120085600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120085600 is an abundant number, since it is smaller than the sum of its proper divisors (173075324).

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

120085600 is a wasteful number, since it uses less digits than its factorization.

120085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150127 (or 150114 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 120085600 is about 10958.3575411646. The cubic root of 120085600 is about 493.3596690754.

The spelling of 120085600 in words is "one hundred twenty million, eighty-five thousand, six hundred".