12109680 has 180 divisors, whose sum is σ = 45023160. Its totient is φ = 2914560.

The previous prime is 12109679. The next prime is 12109681. The reversal of 12109680 is 8690121.

12109680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12109679) and next prime (12109681).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12109681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87051 + ... + 87189.

Almost surely, 2^12109680 is an apocalyptic number.

12109680 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 12109680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22511580).

12109680 is an abundant number, since it is smaller than the sum of its proper divisors (32913480).

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

12109680 is a wasteful number, since it uses less digits than its factorization.

12109680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12109680 is about 3479.8965501865. The cubic root of 12109680 is about 229.6382466930.

The spelling of 12109680 in words is "twelve million, one hundred nine thousand, six hundred eighty".