120755200 has 132 divisors (see below), whose sum is σ = 308401020. Its totient is φ = 46858240.

The previous prime is 120755191. The next prime is 120755207. The reversal of 120755200 is 2557021.

It can be written as a sum of positive squares in 6 ways, for example, as 4460544 + 116294656 = 2112^2 + 10784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120755207) 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, 1356756 + ... + 1356844.

Almost surely, 2^120755200 is an apocalyptic number.

120755200 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 120755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154200510).

120755200 is an abundant number, since it is smaller than the sum of its proper divisors (187645820).

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

120755200 is an equidigital number, since it uses as much as digits as its factorization.

120755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 120755200 is about 10988.8670935634. The cubic root of 120755200 is about 494.2749648025.

The spelling of 120755200 in words is "one hundred twenty million, seven hundred fifty-five thousand, two hundred".