12221011111200 has 432 divisors, whose sum is σ = 41137176427200. Its totient is φ = 3149067939840.

The previous prime is 12221011111159. The next prime is 12221011111219. The reversal of 12221011111200 is 211111012221.

It is a happy number.

It is a super-2 number, since 2×12221011111200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221011111200.

It is a congruent number.

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, 1971445701 + ... + 1971451899.

Almost surely, 2^{12221011111200} is an apocalyptic number.

12221011111200 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 12221011111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20568588213600).

12221011111200 is an abundant number, since it is smaller than the sum of its proper divisors (28916165316000).

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

12221011111200 is a wasteful number, since it uses less digits than its factorization.

12221011111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6557 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12221011111200 its reverse (211111012221), we get a palindrome (12432122123421).

The spelling of 12221011111200 in words is "twelve trillion, two hundred twenty-one billion, eleven million, one hundred eleven thousand, two hundred".