11011222221200 has 120 divisors (see below), whose sum is σ = 26513894668800. Its totient is φ = 4394602368000.

The previous prime is 11011222221173. The next prime is 11011222221283. The reversal of 11011222221200 is 212222211011.

It is a super-3 number, since 3×11011222221200³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444006401 + ... + 444031199.

It is an arithmetic number, because the mean of its divisors is an integer number (220949122240).

Almost surely, 2^{11011222221200} is an apocalyptic number.

11011222221200 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 11011222221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13256947334400).

11011222221200 is an abundant number, since it is smaller than the sum of its proper divisors (15502672447600).

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

11011222221200 is a wasteful number, since it uses less digits than its factorization.

11011222221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27265 (or 27254 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11011222221200 its reverse (212222211011), we get a palindrome (11223444432211).

The spelling of 11011222221200 in words is "eleven trillion, eleven billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred".