12080 has 20 divisors (see below), whose sum is σ = 28272. Its totient is φ = 4800.

The previous prime is 12073. The next prime is 12097. The reversal of 12080 is 8021.

12080 = T₆₇ + T₆₈ + ... + T₇₁.

12080 is digitally balanced in base 2, because in such base 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 (20).

It is a plaindrome in base 14.

It is an unprimeable number.

12080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 5 + ... + 155.

2¹²⁰⁸⁰ is an apocalyptic number.

12080 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 12080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136).

12080 is an abundant number, since it is smaller than the sum of its proper divisors (16192).

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

12080 is a wasteful number, since it uses less digits than its factorization.

12080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 12080 is about 109.9090533123. The cubic root of 12080 is about 22.9450483983.

The spelling of 12080 in words is "twelve thousand, eighty".