12180960 has 144 divisors (see below), whose sum is σ = 45405360. Its totient is φ = 2949120.

The previous prime is 12180947. The next prime is 12180967. The reversal of 12180960 is 6908121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15456 + ... + 16224.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 2^12180960 is an apocalyptic number.

12180960 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 12180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702680).

12180960 is an abundant number, since it is smaller than the sum of its proper divisors (33224400).

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

12180960 is a wasteful number, since it uses less digits than its factorization.

12180960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12180960 is about 3490.1232069943. The cubic root of 12180960 is about 230.0879310922.

The spelling of 12180960 in words is "twelve million, one hundred eighty thousand, nine hundred sixty".