11221200212200 has 192 divisors, whose sum is σ = 29136616297920. Its totient is φ = 3984687360000.

The previous prime is 11221200212161. The next prime is 11221200212239. The reversal of 11221200212200 is 221200212211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11221200212161) and next prime (11221200212239).

It is a super-3 number, since 3×11221200212200³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15874707 + ... + 16566493.

It is an arithmetic number, because the mean of its divisors is an integer number (151753209885).

Almost surely, 2^{11221200212200} is an apocalyptic number.

11221200212200 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 11221200212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14568308148960).

11221200212200 is an abundant number, since it is smaller than the sum of its proper divisors (17915416085720).

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

11221200212200 is a wasteful number, since it uses less digits than its factorization.

11221200212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691988 (or 691979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11221200212200 its reverse (221200212211), we get a palindrome (11442400424411).

The spelling of 11221200212200 in words is "eleven trillion, two hundred twenty-one billion, two hundred million, two hundred twelve thousand, two hundred".