12091680 has 144 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 3214080.

The previous prime is 12091649. The next prime is 12091687. The reversal of 12091680 is 8619021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (12091687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38725 + ... + 39035.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 2^12091680 is an apocalyptic number.

12091680 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 12091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

12091680 is an abundant number, since it is smaller than the sum of its proper divisors (30837024).

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

12091680 is an equidigital number, since it uses as much as digits as its factorization.

12091680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

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

The square root of 12091680 is about 3477.3093046205. The cubic root of 12091680 is about 229.5244110904.

It can be divided in two parts, 1209 and 1680, that multiplied together give a triangular number (2031120 = T₂₀₁₅).

The spelling of 12091680 in words is "twelve million, ninety-one thousand, six hundred eighty".