12096

12096 is a natural number that follows 12095 and precedes 12097. It is an even and composite number, divisible by several smaller integers.

The prime factorization of 12096 is 2^6 × 3^3 × 7. From this factorization, the number has (6+1)(3+1)(1+1) = 56 positive divisors.

12096 can be expressed as 7 × 12^3, since 12^3 equals 1728. The largest power of two dividing the number is 2^6, so it is divisible by 64 but not by 128.

The sum of the digits of 12096 is 1 + 2 + 0 + 9 + 6 = 18, and 12096 is divisible by 18 (12096 ÷ 18 = 672). This makes it a Harshad (Niven) number in base 10.

Regarding divisors, the sum of all divisors is 40640, and the sum of proper divisors (excluding the number itself) is 28544. Since the sum of proper divisors exceeds 12096, the number is abundant, with an abundance of 16448.