11122100211222 has 384 divisors, whose sum is σ = 33936775262208. Its totient is φ = 2539355443200.

The previous prime is 11122100211221. The next prime is 11122100211241. The reversal of 11122100211222 is 22211200122111.

11122100211222 is a `hidden beast` number, since 1 + 11 + 221 + 0 + 0 + 211 + 222 = 666.

It is a super-2 number, since 2×11122100211222² (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 junction number, because it is equal to n+sod(n) for n = 11122100211195 and 11122100211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122100211221) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 31155822 + ... + 31510782.

It is an arithmetic number, because the mean of its divisors is an integer number (88377018912).

Almost surely, 2^{11122100211222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122100211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968387631104).

11122100211222 is an abundant number, since it is smaller than the sum of its proper divisors (22814675050986).

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

11122100211222 is a wasteful number, since it uses less digits than its factorization.

11122100211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355084 (or 355081 counting only the distinct ones).

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

Adding to 11122100211222 its reverse (22211200122111), we get a palindrome (33333300333333).

The spelling of 11122100211222 in words is "eleven trillion, one hundred twenty-two billion, one hundred million, two hundred eleven thousand, two hundred twenty-two".