11121022122200 has 144 divisors (see below), whose sum is σ = 27500809534200. Its totient is φ = 4170822451200.

The previous prime is 11121022122163. The next prime is 11121022122247. The reversal of 11121022122200 is 222122012111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35598680 + ... + 35909720.

Almost surely, 2^{11121022122200} is an apocalyptic number.

11121022122200 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 11121022122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13750404767100).

11121022122200 is an abundant number, since it is smaller than the sum of its proper divisors (16379787412000).

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

11121022122200 is a wasteful number, since it uses less digits than its factorization.

11121022122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311270 (or 311164 counting only the distinct ones).

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

Adding to 11121022122200 its reverse (222122012111), we get a palindrome (11343144134311).

The spelling of 11121022122200 in words is "eleven trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, two hundred".