120055808 has 72 divisors (see below), whose sum is σ = 252112770. Its totient is φ = 57139200.

The previous prime is 120055807. The next prime is 120055811. The reversal of 120055808 is 808550021.

It can be written as a sum of positive squares in only one way, i.e., 119071744 + 984064 = 10912^2 + 992^2 .

It is not an unprimeable number, because it can be changed into a prime (120055801) by changing a digit.

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, 1968098 + ... + 1968158.

Almost surely, 2^120055808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126056385).

120055808 is an abundant number, since it is smaller than the sum of its proper divisors (132056962).

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

120055808 is an frugal number, since it uses more digits than its factorization.

120055808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 120055808 is about 10956.9981290498. The cubic root of 120055808 is about 493.3188665509.

The spelling of 120055808 in words is "one hundred twenty million, fifty-five thousand, eight hundred eight".