11222020211200 has 240 divisors, whose sum is σ = 28472161002120. Its totient is φ = 4381705502720.

The previous prime is 11222020211183. The next prime is 11222020211309. The reversal of 11222020211200 is 211202022211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7327112714496 + 3894907496704 = 2706864^2 + 1973552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133602816 + ... + 133686784.

Almost surely, 2^{11222020211200} is an apocalyptic number.

11222020211200 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 11222020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14236080501060).

11222020211200 is an abundant number, since it is smaller than the sum of its proper divisors (17250140790920).

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

11222020211200 is an equidigital number, since it uses as much as digits as its factorization.

11222020211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84247 (or 84226 counting only the distinct ones).

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

Adding to 11222020211200 its reverse (211202022211), we get a palindrome (11433222233411).

The spelling of 11222020211200 in words is "eleven trillion, two hundred twenty-two billion, twenty million, two hundred eleven thousand, two hundred".