120548800 has 84 divisors (see below), whose sum is σ = 301889160. Its totient is φ = 47365120.

The previous prime is 120548797. The next prime is 120548807. The reversal of 120548800 is 8845021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120548807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93762 + ... + 95038.

Almost surely, 2^120548800 is an apocalyptic number.

120548800 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 120548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150944580).

120548800 is an abundant number, since it is smaller than the sum of its proper divisors (181340360).

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

120548800 is a wasteful number, since it uses less digits than its factorization.

120548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 120548800 is about 10979.4717541419. The cubic root of 120548800 is about 493.9931921674.

It can be divided in two parts, 1205 and 48800, that added together give a palindrome (50005).

The spelling of 120548800 in words is "one hundred twenty million, five hundred forty-eight thousand, eight hundred".