12822716304 has 120 divisors (see below), whose sum is σ = 36975582072. Its totient is φ = 4146370560.

The previous prime is 12822716303. The next prime is 12822716321. The reversal of 12822716304 is 40361722821.

It is a happy number.

12822716304 is a `hidden beast` number, since 1 + 2 + 82 + 271 + 6 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1365154704 + 11457561600 = 36948^2 + 107040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12822716303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631234 + ... + 651230.

Almost surely, 2^12822716304 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 12822716304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18487791036).

12822716304 is an abundant number, since it is smaller than the sum of its proper divisors (24152865768).

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

12822716304 is a wasteful number, since it uses less digits than its factorization.

12822716304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20145 (or 20136 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12822716304 in words is "twelve billion, eight hundred twenty-two million, seven hundred sixteen thousand, three hundred four".