12006880 has 48 divisors (see below), whose sum is σ = 28685664. Its totient is φ = 4748800.

The previous prime is 12006859. The next prime is 12006887. The reversal of 12006880 is 8860021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15789 + ... + 16531.

It is an arithmetic number, because the mean of its divisors is an integer number (597618).

Almost surely, 2^12006880 is an apocalyptic number.

12006880 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 12006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342832).

12006880 is an abundant number, since it is smaller than the sum of its proper divisors (16678784).

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

12006880 is a wasteful number, since it uses less digits than its factorization.

12006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 12006880 is about 3465.0945153055. The cubic root of 12006880 is about 228.9865936737.

The spelling of 12006880 in words is "twelve million, six thousand, eight hundred eighty".