99120 has 80 divisors (see below), whose sum is σ = 357120. Its totient is φ = 22272.

The previous prime is 99119. The next prime is 99131. The reversal of 99120 is 2199.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2⁹⁹¹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

99120 is an abundant number, since it is smaller than the sum of its proper divisors (258000).

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

99120 is a wasteful number, since it uses less digits than its factorization.

99120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 99120 is about 314.8332892183. The cubic root of 99120 is about 46.2793337167.

Subtracting from 99120 its sum of digits (21), we obtain a palindrome (99099).

The spelling of 99120 in words is "ninety-nine thousand, one hundred twenty".