12221203331200 has 288 divisors, whose sum is σ = 32095727706240. Its totient is φ = 4597312143360.

The previous prime is 12221203331171. The next prime is 12221203331291. The reversal of 12221203331200 is 213330212221.

12221203331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1375173157 + ... + 1375182043.

It is an arithmetic number, because the mean of its divisors is an integer number (111443498980).

Almost surely, 2^{12221203331200} is an apocalyptic number.

12221203331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221203331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047863853120).

12221203331200 is an abundant number, since it is smaller than the sum of its proper divisors (19874524375040).

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

12221203331200 is a wasteful number, since it uses less digits than its factorization.

12221203331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10432 (or 10398 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12221203331200 its reverse (213330212221), we get a palindrome (12434533543421).

The spelling of 12221203331200 in words is "twelve trillion, two hundred twenty-one billion, two hundred three million, three hundred thirty-one thousand, two hundred".