120382200 has 144 divisors (see below), whose sum is σ = 419426280. Its totient is φ = 32088960.

The previous prime is 120382193. The next prime is 120382211. The reversal of 120382200 is 2283021.

It is a happy number.

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, 47362 + ... + 49838.

Almost surely, 2^120382200 is an apocalyptic number.

120382200 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 120382200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209713140).

120382200 is an abundant number, since it is smaller than the sum of its proper divisors (299044080).

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

120382200 is a wasteful number, since it uses less digits than its factorization.

120382200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120382200 is about 10971.8822450845. The cubic root of 120382200 is about 493.7655189268.

The spelling of 120382200 in words is "one hundred twenty million, three hundred eighty-two thousand, two hundred".