12812294320 has 120 divisors (see below), whose sum is σ = 35930762784. Its totient is φ = 4161521664.

The previous prime is 12812294309. The next prime is 12812294347. The reversal of 12812294320 is 2349221821.

It is a happy number.

12812294320 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 23 ways as a sum of consecutive naturals, for example, 170472 + ... + 233848.

Almost surely, 2^12812294320 is an apocalyptic number.

12812294320 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 12812294320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17965381392).

12812294320 is an abundant number, since it is smaller than the sum of its proper divisors (23118468464).

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

12812294320 is a wasteful number, since it uses less digits than its factorization.

12812294320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63435 (or 63410 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 12812294320 in words is "twelve billion, eight hundred twelve million, two hundred ninety-four thousand, three hundred twenty".