12004960 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 4124160.

The previous prime is 12004957. The next prime is 12004963. The reversal of 12004960 is 6940021.

12004960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12004957) and next prime (12004963).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33261 + ... + 33619.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^12004960 is an apocalyptic number.

12004960 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 12004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12004960 is an abundant number, since it is smaller than the sum of its proper divisors (20654240).

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

12004960 is a wasteful number, since it uses less digits than its factorization.

12004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 12004960 is about 3464.8174555090. The cubic root of 12004960 is about 228.9743874026.

Adding to 12004960 its reverse (6940021), we get a palindrome (18944981).

The spelling of 12004960 in words is "twelve million, four thousand, nine hundred sixty".