120739200 has 96 divisors (see below), whose sum is σ = 397716360. Its totient is φ = 32194560.

The previous prime is 120739189. The next prime is 120739217. The reversal of 120739200 is 2937021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3312 + ... + 15888.

Almost surely, 2^120739200 is an apocalyptic number.

120739200 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 120739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198858180).

120739200 is an abundant number, since it is smaller than the sum of its proper divisors (276977160).

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

120739200 is a wasteful number, since it uses less digits than its factorization.

120739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 120739200 is about 10988.1390599136. The cubic root of 120739200 is about 494.2531334480.

The spelling of 120739200 in words is "one hundred twenty million, seven hundred thirty-nine thousand, two hundred".