22120122112218 has 192 divisors, whose sum is σ = 53386089897600. Its totient is φ = 6785993410560.

The previous prime is 22120122112181. The next prime is 22120122112243. The reversal of 22120122112218 is 81221122102122.

It is a happy number.

22120122112218 is a `hidden beast` number, since 2 + 21 + 201 + 2 + 211 + 221 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22120122112191 and 22120122112200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7604028148 + ... + 7604031056.

It is an arithmetic number, because the mean of its divisors is an integer number (278052551550).

Almost surely, 2^{22120122112218} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120122112218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26693044948800).

22120122112218 is an abundant number, since it is smaller than the sum of its proper divisors (31265967785382).

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

22120122112218 is a wasteful number, since it uses less digits than its factorization.

22120122112218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 22120122112218 in words is "twenty-two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twelve thousand, two hundred eighteen".