12170880 has 96 divisors (see below), whose sum is σ = 42047460. Its totient is φ = 3244032.

The previous prime is 12170869. The next prime is 12170947. The reversal of 12170880 is 8807121.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 2286144 = 3144^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4704 + ... + 6816.

Almost surely, 2^12170880 is an apocalyptic number.

12170880 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 12170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21023730).

12170880 is an abundant number, since it is smaller than the sum of its proper divisors (29876580).

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

12170880 is a wasteful number, since it uses less digits than its factorization.

12170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 12170880 is about 3488.6788330255. The cubic root of 12170880 is about 230.0244460468.

The spelling of 12170880 in words is "twelve million, one hundred seventy thousand, eight hundred eighty".