20121112022112 has 144 divisors (see below), whose sum is σ = 57797865111168. Its totient is φ = 6639260774400.

The previous prime is 20121112022101. The next prime is 20121112022149. The reversal of 20121112022112 is 21122021112102.

20121112022112 is a `hidden beast` number, since 201 + 211 + 1 + 20 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 146040168 + ... + 146177880.

It is an arithmetic number, because the mean of its divisors is an integer number (401374063272).

Almost surely, 2^{20121112022112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121112022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28898932555584).

20121112022112 is an abundant number, since it is smaller than the sum of its proper divisors (37676753089056).

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

20121112022112 is a wasteful number, since it uses less digits than its factorization.

20121112022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142853 (or 142842 counting only the distinct ones).

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

Adding to 20121112022112 its reverse (21122021112102), we get a palindrome (41243133134214).

The spelling of 20121112022112 in words is "twenty trillion, one hundred twenty-one billion, one hundred twelve million, twenty-two thousand, one hundred twelve".