12181680 has 120 divisors (see below), whose sum is σ = 46773792. Its totient is φ = 2783232.

The previous prime is 12181649. The next prime is 12181681. The reversal of 12181680 is 8618121.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (12181681) 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 23 ways as a sum of consecutive naturals, for example, 3832 + ... + 6248.

Almost surely, 2^12181680 is an apocalyptic number.

12181680 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 12181680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23386896).

12181680 is an abundant number, since it is smaller than the sum of its proper divisors (34592112).

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

12181680 is a wasteful number, since it uses less digits than its factorization.

12181680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12181680 is about 3490.2263536911. The cubic root of 12181680 is about 230.0924643979.

The spelling of 12181680 in words is "twelve million, one hundred eighty-one thousand, six hundred eighty".