12842070208 has 112 divisors (see below), whose sum is σ = 29443680000. Its totient is φ = 5496007680.

The previous prime is 12842070193. The next prime is 12842070221. The reversal of 12842070208 is 80207024821.

12842070208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2230918 + ... + 2236666.

It is an arithmetic number, because the mean of its divisors is an integer number (262890000).

Almost surely, 2^12842070208 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 12842070208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721840000).

12842070208 is an abundant number, since it is smaller than the sum of its proper divisors (16601609792).

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

12842070208 is a wasteful number, since it uses less digits than its factorization.

12842070208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The spelling of 12842070208 in words is "twelve billion, eight hundred forty-two million, seventy thousand, two hundred eight".