120192 has 32 divisors (see below), whose sum is σ = 320280. Its totient is φ = 39936.

The previous prime is 120181. The next prime is 120193. The reversal of 120192 is 291021.

It is a happy number.

120192 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×120192² = 28892233728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120193) by changing a digit.

120192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 228 + ... + 540.

2¹²⁰¹⁹² is an apocalyptic number.

120192 is a gapful number since it is divisible by the number (12) 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 120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160140).

120192 is an abundant number, since it is smaller than the sum of its proper divisors (200088).

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

120192 is an equidigital number, since it uses as much as digits as its factorization.

120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 120192 is about 346.6871788803. The cubic root of 120192 is about 49.3505337312.

It can be divided in two parts, 12019 and 2, that added together give a palindrome (12021).

The spelling of 120192 in words is "one hundred twenty thousand, one hundred ninety-two".