22011022012122 has 128 divisors (see below), whose sum is σ = 57511684177920. Its totient is φ = 6151892310720.

The previous prime is 22011022012037. The next prime is 22011022012151. The reversal of 22011022012122 is 22121022011022.

It is a happy number.

22011022012122 is a `hidden beast` number, since 220 + 1 + 10 + 220 + 1 + 212 + 2 = 666.

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 = 22011022012095 and 22011022012104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8278663 + ... + 10609349.

It is an arithmetic number, because the mean of its divisors is an integer number (449310032640).

Almost surely, 2^{22011022012122} is an apocalyptic number.

22011022012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22011022012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28755842088960).

22011022012122 is an abundant number, since it is smaller than the sum of its proper divisors (35500662165798).

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

22011022012122 is a wasteful number, since it uses less digits than its factorization.

22011022012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331945 (or 2331939 counting only the distinct ones).

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

Adding to 22011022012122 its reverse (22121022011022), we get a palindrome (44132044023144).

The spelling of 22011022012122 in words is "twenty-two trillion, eleven billion, twenty-two million, twelve thousand, one hundred twenty-two".