12012960 has 96 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 3089408.

The previous prime is 12012941. The next prime is 12012967. The reversal of 12012960 is 6921021.

12012960 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is a super-2 number, since 2×12012960² = 288622415923200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12012967) 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, 13489 + ... + 14351.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^12012960 is an apocalyptic number.

12012960 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 12012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

12012960 is an abundant number, since it is smaller than the sum of its proper divisors (27178080).

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

12012960 is a wasteful number, since it uses less digits than its factorization.

12012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 12012960 is about 3465.9717252165. The cubic root of 12012960 is about 229.0252382829.

Adding to 12012960 its reverse (6921021), we get a palindrome (18933981).

The spelling of 12012960 in words is "twelve million, twelve thousand, nine hundred sixty".