12132960 has 192 divisors, whose sum is σ = 45868032. Its totient is φ = 2635776.

The previous prime is 12132959. The next prime is 12132971. The reversal of 12132960 is 6923121.

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 12132960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77202 + ... + 77358.

It is an arithmetic number, because the mean of its divisors is an integer number (238896).

Almost surely, 2^12132960 is an apocalyptic number.

12132960 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 12132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934016).

12132960 is an abundant number, since it is smaller than the sum of its proper divisors (33735072).

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

12132960 is a wasteful number, since it uses less digits than its factorization.

12132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

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

The square root of 12132960 is about 3483.2398711544. The cubic root of 12132960 is about 229.7853069038.

The spelling of 12132960 in words is "twelve million, one hundred thirty-two thousand, nine hundred sixty".