12724218200 has 48 divisors (see below), whose sum is σ = 29592034560. Its totient is φ = 5088272000.

The previous prime is 12724218163. The next prime is 12724218229. The reversal of 12724218200 is 281242721.

12724218200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12724218200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 997865 + ... + 1010535.

It is an arithmetic number, because the mean of its divisors is an integer number (616500720).

Almost surely, 2^12724218200 is an apocalyptic number.

12724218200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12724218200 is an abundant number, since it is smaller than the sum of its proper divisors (16867816360).

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

12724218200 is a wasteful number, since it uses less digits than its factorization.

12724218200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17708 (or 17699 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The spelling of 12724218200 in words is "twelve billion, seven hundred twenty-four million, two hundred eighteen thousand, two hundred".