2122211210112 has 384 divisors, whose sum is σ = 7778791238400. Its totient is φ = 540642263040.

The previous prime is 2122211210111. The next prime is 2122211210177. The reversal of 2122211210112 is 2110121122212.

2122211210112 is a `hidden beast` number, since 212 + 221 + 121 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2122211210112² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122211210111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2197287 + ... + 3012057.

It is an arithmetic number, because the mean of its divisors is an integer number (20257268850).

Almost surely, 2^{2122211210112} 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 2122211210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889395619200).

2122211210112 is an abundant number, since it is smaller than the sum of its proper divisors (5656580028288).

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

2122211210112 is a wasteful number, since it uses less digits than its factorization.

2122211210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814834 (or 814819 counting only the distinct ones).

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

Adding to 2122211210112 its reverse (2110121122212), we get a palindrome (4232332332324).

The spelling of 2122211210112 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".