12006960 has 120 divisors (see below), whose sum is σ = 43340976. Its totient is φ = 2741760.

The previous prime is 12006941. The next prime is 12006971. The reversal of 12006960 is 6960021.

12006960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12006960.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11250 + ... + 12270.

Almost surely, 2^12006960 is an apocalyptic number.

12006960 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 12006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670488).

12006960 is an abundant number, since it is smaller than the sum of its proper divisors (31334016).

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

12006960 is a wasteful number, since it uses less digits than its factorization.

12006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 12006960 is about 3465.1060589829. The cubic root of 12006960 is about 228.9871022401.

Adding to 12006960 its reverse (6960021), we get a palindrome (18966981).

The spelling of 12006960 in words is "twelve million, six thousand, nine hundred sixty".