12082960 has 40 divisors (see below), whose sum is σ = 28491480. Its totient is φ = 4764672.

The previous prime is 12082949. The next prime is 12082969. The reversal of 12082960 is 6928021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 11751184 = 576^2 + 3428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12082969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4806 + ... + 6874.

It is an arithmetic number, because the mean of its divisors is an integer number (712287).

Almost surely, 2^12082960 is an apocalyptic number.

12082960 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 12082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245740).

12082960 is an abundant number, since it is smaller than the sum of its proper divisors (16408520).

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

12082960 is a wasteful number, since it uses less digits than its factorization.

12082960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 12082960 is about 3476.0552354645. The cubic root of 12082960 is about 229.4692234413.

The spelling of 12082960 in words is "twelve million, eighty-two thousand, nine hundred sixty".