12822311600 has 60 divisors (see below), whose sum is σ = 35206411824. Its totient is φ = 4396220160.

The previous prime is 12822311581. The next prime is 12822311609. The reversal of 12822311600 is 611322821.

12822311600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12822311600.

It is not an unprimeable number, because it can be changed into a prime (12822311609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2286899 + ... + 2292498.

Almost surely, 2^12822311600 is an apocalyptic number.

12822311600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12822311600 is an abundant number, since it is smaller than the sum of its proper divisors (22384100224).

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

12822311600 is a wasteful number, since it uses less digits than its factorization.

12822311600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579422 (or 4579411 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 12822311600 in words is "twelve billion, eight hundred twenty-two million, three hundred eleven thousand, six hundred".