120520800 has 216 divisors, whose sum is σ = 447861960. Its totient is φ = 30412800.

The previous prime is 120520793. The next prime is 120520817. The reversal of 120520800 is 8025021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136360 + ... + 137240.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 2^120520800 is an apocalyptic number.

120520800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223930980).

120520800 is an abundant number, since it is smaller than the sum of its proper divisors (327341160).

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

120520800 is a wasteful number, since it uses less digits than its factorization.

120520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120520800 is about 10978.1965732082. The cubic root of 120520800 is about 493.9549424284.

Adding to 120520800 its reverse (8025021), we get a palindrome (128545821).

The spelling of 120520800 in words is "one hundred twenty million, five hundred twenty thousand, eight hundred".