11212000202200 has 384 divisors, whose sum is σ = 31855778956800. Its totient is φ = 3584300544000.

The previous prime is 11212000202197. The next prime is 11212000202201. The reversal of 11212000202200 is 220200021211.

It is a happy number.

11212000202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212000202201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2888944260 + ... + 2888948140.

It is an arithmetic number, because the mean of its divisors is an integer number (82957757700).

Almost surely, 2^{11212000202200} is an apocalyptic number.

11212000202200 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 11212000202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927889478400).

11212000202200 is an abundant number, since it is smaller than the sum of its proper divisors (20643778754600).

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

11212000202200 is a wasteful number, since it uses less digits than its factorization.

11212000202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11212000202200 its reverse (220200021211), we get a palindrome (11432200223411).

The spelling of 11212000202200 in words is "eleven trillion, two hundred twelve billion, two hundred two thousand, two hundred".