11121441002200 has 96 divisors (see below), whose sum is σ = 26214589748160. Its totient is φ = 4387532572800.

The previous prime is 11121441002173. The next prime is 11121441002257. The reversal of 11121441002200 is 220014412111.

It is a happy number.

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, 2968507 + ... + 5572693.

It is an arithmetic number, because the mean of its divisors is an integer number (273068643210).

Almost surely, 2^{11121441002200} is an apocalyptic number.

11121441002200 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 11121441002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107294874080).

11121441002200 is an abundant number, since it is smaller than the sum of its proper divisors (15093148745960).

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

11121441002200 is a wasteful number, since it uses less digits than its factorization.

11121441002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604497 (or 2604488 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11121441002200 its reverse (220014412111), we get a palindrome (11341455414311).

The spelling of 11121441002200 in words is "eleven trillion, one hundred twenty-one billion, four hundred forty-one million, two thousand, two hundred".