12784135872 has 112 divisors (see below), whose sum is σ = 34988308992. Its totient is φ = 4116817920.

The previous prime is 12784135789. The next prime is 12784135879. The reversal of 12784135872 is 27853148721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12784135879) 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, 802933 + ... + 818699.

It is an arithmetic number, because the mean of its divisors is an integer number (312395616).

Almost surely, 2^12784135872 is an apocalyptic number.

12784135872 is a gapful number since it is divisible by the number (12) 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 12784135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494154496).

12784135872 is an abundant number, since it is smaller than the sum of its proper divisors (22204173120).

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

12784135872 is a wasteful number, since it uses less digits than its factorization.

12784135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15926 (or 15916 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The spelling of 12784135872 in words is "twelve billion, seven hundred eighty-four million, one hundred thirty-five thousand, eight hundred seventy-two".