11022122120112 has 240 divisors, whose sum is σ = 32231071454400. Its totient is φ = 3512880783360.

The previous prime is 11022122120111. The next prime is 11022122120129. The reversal of 11022122120112 is 21102122122011.

11022122120112 is a `hidden beast` number, since 1 + 10 + 221 + 221 + 201 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11022122120111) 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 47 ways as a sum of consecutive naturals, for example, 287546964 + ... + 287585292.

It is an arithmetic number, because the mean of its divisors is an integer number (134296131060).

Almost surely, 2^{11022122120112} is an apocalyptic number.

11022122120112 is a gapful number since it is divisible by the number (12) 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 11022122120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115535727200).

11022122120112 is an abundant number, since it is smaller than the sum of its proper divisors (21208949334288).

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

11022122120112 is a wasteful number, since it uses less digits than its factorization.

11022122120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39356 (or 39347 counting only the distinct ones).

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

Adding to 11022122120112 its reverse (21102122122011), we get a palindrome (32124244242123).

The spelling of 11022122120112 in words is "eleven trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twelve".