11221221111200 has 144 divisors (see below), whose sum is σ = 29029118580000. Its totient is φ = 4223712752640.

The previous prime is 11221221111157. The next prime is 11221221111229. The reversal of 11221221111200 is 211112212211.

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, 212510 + ... + 4742109.

It is an arithmetic number, because the mean of its divisors is an integer number (201591101250).

Almost surely, 2^{11221221111200} is an apocalyptic number.

11221221111200 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 11221221111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514559290000).

11221221111200 is an abundant number, since it is smaller than the sum of its proper divisors (17807897468800).

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

11221221111200 is a wasteful number, since it uses less digits than its factorization.

11221221111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954807 (or 4954794 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11221221111200 its reverse (211112212211), we get a palindrome (11432333323411).

It can be divided in two parts, 1122122 and 1111200, that added together give a palindrome (2233322).

The spelling of 11221221111200 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred eleven thousand, two hundred".