12801984 has 112 divisors (see below), whose sum is σ = 38234112. Its totient is φ = 3750912.

The previous prime is 12801983. The next prime is 12801989. The reversal of 12801984 is 48910821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12801983) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57297 + ... + 57519.

It is an arithmetic number, because the mean of its divisors is an integer number (341376).

Almost surely, 2^12801984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117056).

12801984 is an abundant number, since it is smaller than the sum of its proper divisors (25432128).

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

12801984 is a wasteful number, since it uses less digits than its factorization.

12801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 12801984 is about 3577.9860256854. The cubic root of 12801984 is about 233.9335043726.

The spelling of 12801984 in words is "twelve million, eight hundred one thousand, nine hundred eighty-four".