12881400 has 96 divisors (see below), whose sum is σ = 45651840. Its totient is φ = 2943360.

The previous prime is 12881387. The next prime is 12881417. The reversal of 12881400 is 418821.

12881400 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2667 + ... + 5733.

It is an arithmetic number, because the mean of its divisors is an integer number (475540).

Almost surely, 2^12881400 is an apocalyptic number.

12881400 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 12881400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825920).

12881400 is an abundant number, since it is smaller than the sum of its proper divisors (32770440).

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

12881400 is a wasteful number, since it uses less digits than its factorization.

12881400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12881400 is about 3589.0667310598. The cubic root of 12881400 is about 234.4162363000.

The spelling of 12881400 in words is "twelve million, eight hundred eighty-one thousand, four hundred".