22001022112122 has 48 divisors (see below), whose sum is σ = 47723775301800. Its totient is φ = 7325230381056.

The previous prime is 22001022112109. The next prime is 22001022112133. The reversal of 22001022112122 is 22121122010022.

It is a happy number.

22001022112122 is a `hidden beast` number, since 220 + 0 + 10 + 221 + 1 + 212 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14333046381801 + 7667975730321 = 3785901^2 + 2769111^2 .

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 = 22001022112095 and 22001022112104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182750004 + ... + 182870352.

Almost surely, 2^{22001022112122} is an apocalyptic number.

22001022112122 is an abundant number, since it is smaller than the sum of its proper divisors (25722753189678).

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

22001022112122 is a wasteful number, since it uses less digits than its factorization.

22001022112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131967 (or 131964 counting only the distinct ones).

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

Adding to 22001022112122 its reverse (22121122010022), we get a palindrome (44122144122144).

The spelling of 22001022112122 in words is "twenty-two trillion, one billion, twenty-two million, one hundred twelve thousand, one hundred twenty-two".