120185760 has 192 divisors, whose sum is σ = 402361344. Its totient is φ = 30105600.

The previous prime is 120185713. The next prime is 120185761. The reversal of 120185760 is 67581021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (120185761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609982 + ... + 610178.

It is an arithmetic number, because the mean of its divisors is an integer number (2095632).

Almost surely, 2^120185760 is an apocalyptic number.

120185760 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 120185760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

120185760 is an abundant number, since it is smaller than the sum of its proper divisors (282175584).

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

120185760 is a wasteful number, since it uses less digits than its factorization.

120185760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 120185760 is about 10962.9266165564. The cubic root of 120185760 is about 493.4967967362.

The spelling of 120185760 in words is "one hundred twenty million, one hundred eighty-five thousand, seven hundred sixty".