11220122122200 has 480 divisors, whose sum is σ = 40549333872960. Its totient is φ = 2873109657600.

The previous prime is 11220122122199. The next prime is 11220122122201. The reversal of 11220122122200 is 222122102211.

It is a happy number.

11220122122200 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 221 + 2 + 220 + 0 = 666.

11220122122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11220122122199) and next prime (11220122122201).

It is a super-2 number, since 2×11220122122200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220122122201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40215180 + ... + 40493220.

It is an arithmetic number, because the mean of its divisors is an integer number (84477778902).

Almost surely, 2^{11220122122200} is an apocalyptic number.

11220122122200 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 11220122122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20274666936480).

11220122122200 is an abundant number, since it is smaller than the sum of its proper divisors (29329211750760).

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

11220122122200 is a wasteful number, since it uses less digits than its factorization.

11220122122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278169 (or 278151 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11220122122200 its reverse (222122102211), we get a palindrome (11442244224411).

The spelling of 11220122122200 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred".