11221200111200 has 144 divisors (see below), whose sum is σ = 27933592823136. Its totient is φ = 4400890368000.

The previous prime is 11221200111157. The next prime is 11221200111221. The reversal of 11221200111200 is 211100212211.

It is a congruent number.

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, 7648244 + ... + 8996556.

It is an arithmetic number, because the mean of its divisors is an integer number (193983283494).

Almost surely, 2^{11221200111200} is an apocalyptic number.

11221200111200 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 11221200111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13966796411568).

11221200111200 is an abundant number, since it is smaller than the sum of its proper divisors (16712392711936).

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

11221200111200 is a wasteful number, since it uses less digits than its factorization.

11221200111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348537 (or 1348524 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221200111200 its reverse (211100212211), we get a palindrome (11432300323411).

The spelling of 11221200111200 in words is "eleven trillion, two hundred twenty-one billion, two hundred million, one hundred eleven thousand, two hundred".