12805240 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3967488.

The previous prime is 12805237. The next prime is 12805279. The reversal of 12805240 is 4250821.

12805240 is nontrivially palindromic in base 12.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 154239 + ... + 154321.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

It is a vampire number, since it can be written as 2204 ⋅ 5810 (with its own digits).

Almost surely, 2^12805240 is an apocalyptic number.

12805240 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 12805240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

12805240 is an abundant number, since it is smaller than the sum of its proper divisors (23482760).

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

12805240 is a wasteful number, since it uses less digits than its factorization.

12805240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 12805240 is about 3578.4410013300. The cubic root of 12805240 is about 233.9533352292.

The spelling of 12805240 in words is "twelve million, eight hundred five thousand, two hundred forty".