120361200 has 120 divisors (see below), whose sum is σ = 405926400. Its totient is φ = 30401280.

The previous prime is 120361193. The next prime is 120361229. The reversal of 120361200 is 2163021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120361200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20161 + ... + 25439.

It is an arithmetic number, because the mean of its divisors is an integer number (3382720).

Almost surely, 2^120361200 is an apocalyptic number.

120361200 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 120361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202963200).

120361200 is an abundant number, since it is smaller than the sum of its proper divisors (285565200).

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

120361200 is a wasteful number, since it uses less digits than its factorization.

120361200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 120361200 is about 10970.9252116674. The cubic root of 120361200 is about 493.7368057148.

The spelling of 120361200 in words is "one hundred twenty million, three hundred sixty-one thousand, two hundred".