12132480 has 128 divisors (see below), whose sum is σ = 39657600. Its totient is φ = 3153920.

The previous prime is 12132479. The next prime is 12132481. The reversal of 12132480 is 8423121.

It is an interprime number because it is at equal distance from previous prime (12132479) and next prime (12132481).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136276 + ... + 136364.

It is an arithmetic number, because the mean of its divisors is an integer number (309825).

Almost surely, 2^12132480 is an apocalyptic number.

12132480 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 12132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828800).

12132480 is an abundant number, since it is smaller than the sum of its proper divisors (27525120).

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

12132480 is an equidigital number, since it uses as much as digits as its factorization.

12132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12132480 is about 3483.1709691027. The cubic root of 12132480 is about 229.7822766347.

The spelling of 12132480 in words is "twelve million, one hundred thirty-two thousand, four hundred eighty".