11221210211200 has 384 divisors, whose sum is σ = 30594626640000. Its totient is φ = 4032721920000.

The previous prime is 11221210211173. The next prime is 11221210211219. The reversal of 11221210211200 is 211201212211.

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

It is a congruent number.

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, 2200666251 + ... + 2200671349.

It is an arithmetic number, because the mean of its divisors is an integer number (79673506875).

Almost surely, 2^{11221210211200} is an apocalyptic number.

11221210211200 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 11221210211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297313320000).

11221210211200 is an abundant number, since it is smaller than the sum of its proper divisors (19373416428800).

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

11221210211200 is a wasteful number, since it uses less digits than its factorization.

11221210211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11221210211200 its reverse (211201212211), we get a palindrome (11432411423411).

The spelling of 11221210211200 in words is "eleven trillion, two hundred twenty-one billion, two hundred ten million, two hundred eleven thousand, two hundred".