12409280 has 112 divisors (see below), whose sum is σ = 33710880. Its totient is φ = 4313088.

The previous prime is 12409279. The next prime is 12409289. The reversal of 12409280 is 8290421.

12409280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12409289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78962 + ... + 79118.

It is an arithmetic number, because the mean of its divisors is an integer number (300990).

Almost surely, 2^12409280 is an apocalyptic number.

12409280 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 12409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855440).

12409280 is an abundant number, since it is smaller than the sum of its proper divisors (21301600).

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

12409280 is a wasteful number, since it uses less digits than its factorization.

12409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 12409280 is about 3522.6807973474. The cubic root of 12409280 is about 231.5166313406.

The spelling of 12409280 in words is "twelve million, four hundred nine thousand, two hundred eighty".