11011112221200 has 960 divisors, whose sum is σ = 47208273477120. Its totient is φ = 2127453880320.

The previous prime is 11011112221177. The next prime is 11011112221253. The reversal of 11011112221200 is 212221111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11011112221200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68606646 + ... + 68766954.

It is an arithmetic number, because the mean of its divisors is an integer number (49175284872).

Almost surely, 2^{11011112221200} is an apocalyptic number.

11011112221200 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 11011112221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23604136738560).

11011112221200 is an abundant number, since it is smaller than the sum of its proper divisors (36197161255920).

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

11011112221200 is a wasteful number, since it uses less digits than its factorization.

11011112221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160404 (or 160393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11011112221200 its reverse (212221111011), we get a palindrome (11223333332211).

It can be divided in two parts, 11011 and 112221200, that added together give a palindrome (112232211).

The spelling of 11011112221200 in words is "eleven trillion, eleven billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".