11221020211200 has 576 divisors, whose sum is σ = 38525845438080. Its totient is φ = 2878948638720.

The previous prime is 11221020211139. The next prime is 11221020211207. The reversal of 11221020211200 is 211202012211.

It is a super-2 number, since 2×11221020211200² (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 11221020211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221020211207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 442508922 + ... + 442534278.

It is an arithmetic number, because the mean of its divisors is an integer number (66885148330).

Almost surely, 2^{11221020211200} is an apocalyptic number.

11221020211200 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 11221020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262922719040).

11221020211200 is an abundant number, since it is smaller than the sum of its proper divisors (27304825226880).

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

11221020211200 is a wasteful number, since it uses less digits than its factorization.

11221020211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25502 (or 25477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11221020211200 its reverse (211202012211), we get a palindrome (11432222223411).

The spelling of 11221020211200 in words is "eleven trillion, two hundred twenty-one billion, twenty million, two hundred eleven thousand, two hundred".