12120192 has 160 divisors (see below), whose sum is σ = 41469120. Its totient is φ = 3442176.

The previous prime is 12120181. The next prime is 12120223. The reversal of 12120192 is 29102121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72493 + ... + 72659.

It is an arithmetic number, because the mean of its divisors is an integer number (259182).

Almost surely, 2^12120192 is an apocalyptic number.

12120192 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 12120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734560).

12120192 is an abundant number, since it is smaller than the sum of its proper divisors (29348928).

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

12120192 is an equidigital number, since it uses as much as digits as its factorization.

12120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12120192 is about 3481.4066122761. The cubic root of 12120192 is about 229.7046745175.

The spelling of 12120192 in words is "twelve million, one hundred twenty thousand, one hundred ninety-two".