20112112112022 has 256 divisors, whose sum is σ = 51568627968000. Its totient is φ = 5691523719168.

The previous prime is 20112112111981. The next prime is 20112112112041. The reversal of 20112112112022 is 22021121121102.

20112112112022 is a `hidden beast` number, since 201 + 1 + 211 + 211 + 20 + 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 = 20112112111986 and 20112112112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21649205254 + ... + 21649206182.

It is an arithmetic number, because the mean of its divisors is an integer number (201439953000).

Almost surely, 2^{20112112112022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112112112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25784313984000).

20112112112022 is an abundant number, since it is smaller than the sum of its proper divisors (31456515855978).

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

20112112112022 is a wasteful number, since it uses less digits than its factorization.

20112112112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2206 counting only the distinct ones).

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

Adding to 20112112112022 its reverse (22021121121102), we get a palindrome (42133233233124).

The spelling of 20112112112022 in words is "twenty trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, twenty-two".