12000960 has 140 divisors (see below), whose sum is σ = 42781728. Its totient is φ = 3193344.

The previous prime is 12000959. The next prime is 12000977. The reversal of 12000960 is 6900021.

12000960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 25689 + ... + 26151.

Almost surely, 2^12000960 is an apocalyptic number.

12000960 is a gapful number since it is divisible by the number (10) 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 12000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21390864).

12000960 is an abundant number, since it is smaller than the sum of its proper divisors (30780768).

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

12000960 is an equidigital number, since it uses as much as digits as its factorization.

12000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12000960 is about 3464.2401764312. The cubic root of 12000960 is about 228.9489534905.

Adding to 12000960 its reverse (6900021), we get a palindrome (18900981).

The spelling of 12000960 in words is "twelve million, nine hundred sixty", and thus it is an aban number.