12221032012200 has 288 divisors, whose sum is σ = 45532293112800. Its totient is φ = 2912459328000.

The previous prime is 12221032012199. The next prime is 12221032012283. The reversal of 12221032012200 is 221023012221.

12221032012200 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 320 + 122 + 0 + 0 = 666.

12221032012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4062511 + ... + 6398910.

It is an arithmetic number, because the mean of its divisors is an integer number (158098239975).

Almost surely, 2^{12221032012200} is an apocalyptic number.

12221032012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221032012200 is an abundant number, since it is smaller than the sum of its proper divisors (33311261100600).

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

12221032012200 is a wasteful number, since it uses less digits than its factorization.

12221032012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10461513 (or 10461501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12221032012200 its reverse (221023012221), we get a palindrome (12442055024421).

The spelling of 12221032012200 in words is "twelve trillion, two hundred twenty-one billion, thirty-two million, twelve thousand, two hundred".