12444080 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 4442880.

The previous prime is 12444077. The next prime is 12444097. The reversal of 12444080 is 8044421.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69431 + ... + 69609.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^12444080 is an apocalyptic number.

12444080 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 12444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12444080 is an abundant number, since it is smaller than the sum of its proper divisors (19696720).

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

12444080 is a wasteful number, since it uses less digits than its factorization.

12444080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 12444080 is about 3527.6167592299. The cubic root of 12444080 is about 231.7328474609.

The spelling of 12444080 in words is "twelve million, four hundred forty-four thousand, eighty".