120186720 has 192 divisors, whose sum is σ = 431101440. Its totient is φ = 31256064.

The previous prime is 120186713. The next prime is 120186743. The reversal of 120186720 is 27681021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185437 + ... + 186083.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2^120186720 is an apocalyptic number.

120186720 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 120186720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550720).

120186720 is an abundant number, since it is smaller than the sum of its proper divisors (310914720).

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

120186720 is a wasteful number, since it uses less digits than its factorization.

120186720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 120186720 is about 10962.9704003979. The cubic root of 120186720 is about 493.4981106902.

The spelling of 120186720 in words is "one hundred twenty million, one hundred eighty-six thousand, seven hundred twenty".