11221012200000 has 672 divisors, whose sum is σ = 38273762822400. Its totient is φ = 2899031040000.

The previous prime is 11221012199977. The next prime is 11221012200029. The reversal of 11221012200000 is 221012211.

It is a super-2 number, since 2×11221012200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5971799061 + ... + 5971800939.

It is an arithmetic number, because the mean of its divisors is an integer number (56955004200).

Almost surely, 2^{11221012200000} is an apocalyptic number.

11221012200000 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 11221012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136881411200).

11221012200000 is an abundant number, since it is smaller than the sum of its proper divisors (27052750622400).

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

11221012200000 is an equidigital number, since it uses as much as digits as its factorization.

11221012200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221012200000 its reverse (221012211), we get a palindrome (11221233212211).

The spelling of 11221012200000 in words is "eleven trillion, two hundred twenty-one billion, twelve million, two hundred thousand".