120165840 has 240 divisors, whose sum is σ = 426187008. Its totient is φ = 30311424.

The previous prime is 120165839. The next prime is 120165883. The reversal of 120165840 is 48561021.

120165840 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 658 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1793487 + ... + 1793553.

Almost surely, 2^120165840 is an apocalyptic number.

120165840 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 120165840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213093504).

120165840 is an abundant number, since it is smaller than the sum of its proper divisors (306021168).

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

120165840 is a wasteful number, since it uses less digits than its factorization.

120165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120165840 is about 10962.0180623825. The cubic root of 120165840 is about 493.4695306127.

The spelling of 120165840 in words is "one hundred twenty million, one hundred sixty-five thousand, eight hundred forty".