120931200 has 576 divisors, whose sum is σ = 517935600. Its totient is φ = 26542080.

The previous prime is 120931193. The next prime is 120931211. The reversal of 120931200 is 2139021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6364791 + ... + 6364809.

Almost surely, 2^120931200 is an apocalyptic number.

120931200 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 120931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258967800).

120931200 is an abundant number, since it is smaller than the sum of its proper divisors (397004400).

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

120931200 is a wasteful number, since it uses less digits than its factorization.

120931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 120931200 is about 10996.8722826084. The cubic root of 120931200 is about 494.5149825253.

The spelling of 120931200 in words is "one hundred twenty million, nine hundred thirty-one thousand, two hundred".