22120022011122 has 128 divisors (see below), whose sum is σ = 56984001914880. Its totient is φ = 6229863748800.

The previous prime is 22120022011111. The next prime is 22120022011183. The reversal of 22120022011122 is 22111022002122.

It is a happy number.

22120022011122 is a `hidden beast` number, since 221 + 200 + 220 + 1 + 1 + 1 + 22 = 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 = 22120022011095 and 22120022011104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7390213 + ... + 9942599.

It is an arithmetic number, because the mean of its divisors is an integer number (445187514960).

Almost surely, 2^{22120022011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120022011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28492000957440).

22120022011122 is an abundant number, since it is smaller than the sum of its proper divisors (34863979903758).

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

22120022011122 is a wasteful number, since it uses less digits than its factorization.

22120022011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552733 (or 2552727 counting only the distinct ones).

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

Adding to 22120022011122 its reverse (22111022002122), we get a palindrome (44231044013244).

The spelling of 22120022011122 in words is "twenty-two trillion, one hundred twenty billion, twenty-two million, eleven thousand, one hundred twenty-two".