12881540 has 48 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 4368000.

The previous prime is 12881537. The next prime is 12881543. The reversal of 12881540 is 4518821.

It is an interprime number because it is at equal distance from previous prime (12881537) and next prime (12881543).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12881543) 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, 13685 + ... + 14595.

It is an arithmetic number, because the mean of its divisors is an integer number (651168).

Almost surely, 2^12881540 is an apocalyptic number.

12881540 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 12881540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032).

12881540 is an abundant number, since it is smaller than the sum of its proper divisors (18374524).

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

12881540 is a wasteful number, since it uses less digits than its factorization.

12881540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 12881540 is about 3589.0862346843. The cubic root of 12881540 is about 234.4170855388.

The spelling of 12881540 in words is "twelve million, eight hundred eighty-one thousand, five hundred forty".