120165800 has 96 divisors (see below), whose sum is σ = 295159680. Its totient is φ = 45408000.

The previous prime is 120165781. The next prime is 120165803. The reversal of 120165800 is 8561021.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (120165803) 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 23 ways as a sum of consecutive naturals, for example, 694514 + ... + 694686.

It is an arithmetic number, because the mean of its divisors is an integer number (3074580).

Almost surely, 2^120165800 is an apocalyptic number.

120165800 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 120165800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147579840).

120165800 is an abundant number, since it is smaller than the sum of its proper divisors (174993880).

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

120165800 is a wasteful number, since it uses less digits than its factorization.

120165800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 120165800 is about 10962.0162379008. The cubic root of 120165800 is about 493.4694758584.

The spelling of 120165800 in words is "one hundred twenty million, one hundred sixty-five thousand, eight hundred".