12009792 has 56 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 3942400.

The previous prime is 12009791. The next prime is 12009821. The reversal of 12009792 is 29790021.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12009791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13192 + ... + 14072.

It is an arithmetic number, because the mean of its divisors is an integer number (576072).

Almost surely, 2^12009792 is an apocalyptic number.

12009792 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 12009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

12009792 is an abundant number, since it is smaller than the sum of its proper divisors (20250240).

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

12009792 is an equidigital number, since it uses as much as digits as its factorization.

12009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 12009792 is about 3465.5146803902. The cubic root of 12009792 is about 229.0051040350.

The spelling of 12009792 in words is "twelve million, nine thousand, seven hundred ninety-two".