11221122112200 has 2304 divisors, whose sum is σ = 55026843056640. Its totient is φ = 1970749440000.

The previous prime is 11221122112199. The next prime is 11221122112229. The reversal of 11221122112200 is 221122112211.

11221122112200 is a `hidden beast` number, since 1 + 1 + 221 + 1 + 221 + 1 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1133327250 + ... + 1133337150.

It is an arithmetic number, because the mean of its divisors is an integer number (23883178410).

Almost surely, 2^{11221122112200} is an apocalyptic number.

11221122112200 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 11221122112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27513421528320).

11221122112200 is an abundant number, since it is smaller than the sum of its proper divisors (43805720944440).

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

11221122112200 is a wasteful number, since it uses less digits than its factorization.

11221122112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008 (or 9996 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11221122112200 its reverse (221122112211), we get a palindrome (11442244224411).

The spelling of 11221122112200 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".