12221211021200 has 60 divisors (see below), whose sum is σ = 29361879353748. Its totient is φ = 4888414502400.

The previous prime is 12221211021191. The next prime is 12221211021211. The reversal of 12221211021200 is 212011212221.

12221211021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 584625393664 + 11636585627536 = 764608^2 + 3411244^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34793654 + ... + 35143146.

Almost surely, 2^{12221211021200} is an apocalyptic number.

12221211021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221211021200 is an abundant number, since it is smaller than the sum of its proper divisors (17140668332548).

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

12221211021200 is a wasteful number, since it uses less digits than its factorization.

12221211021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436932 (or 436921 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12221211021200 its reverse (212011212221), we get a palindrome (12433222233421).

The spelling of 12221211021200 in words is "twelve trillion, two hundred twenty-one billion, two hundred eleven million, twenty-one thousand, two hundred".