22112102112120 has 384 divisors, whose sum is σ = 76417406208000. Its totient is φ = 5536218240000.

The previous prime is 22112102112119. The next prime is 22112102112157. The reversal of 22112102112120 is 2121120121122.

22112102112120 is a `hidden beast` number, since 22 + 11 + 210 + 211 + 212 + 0 = 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 = 22112102112093 and 22112102112102.

It is a congruent number.

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, 71347495 + ... + 71656745.

It is an arithmetic number, because the mean of its divisors is an integer number (199003662000).

Almost surely, 2^{22112102112120} is an apocalyptic number.

22112102112120 is a gapful number since it is divisible by the number (20) 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 22112102112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208703104000).

22112102112120 is an abundant number, since it is smaller than the sum of its proper divisors (54305304095880).

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

22112102112120 is a wasteful number, since it uses less digits than its factorization.

22112102112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309491 (or 309484 counting only the distinct ones).

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

Adding to 22112102112120 its reverse (2121120121122), we get a palindrome (24233222233242).

The spelling of 22112102112120 in words is "twenty-two trillion, one hundred twelve billion, one hundred two million, one hundred twelve thousand, one hundred twenty".