12881440 has 96 divisors (see below), whose sum is σ = 35816256. Its totient is φ = 4316160.

The previous prime is 12881419. The next prime is 12881441. The reversal of 12881440 is 4418821.

It is a junction number, because it is equal to n+sod(n) for n = 12881399 and 12881408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12881441) 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, 22599 + ... + 23161.

It is an arithmetic number, because the mean of its divisors is an integer number (373086).

Almost surely, 2^12881440 is an apocalyptic number.

12881440 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 12881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908128).

12881440 is an abundant number, since it is smaller than the sum of its proper divisors (22934816).

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

12881440 is a wasteful number, since it uses less digits than its factorization.

12881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 12881440 is about 3589.0723035347. The cubic root of 12881440 is about 234.4164789402.

The spelling of 12881440 in words is "twelve million, eight hundred eighty-one thousand, four hundred forty".