2122012110112 has 48 divisors (see below), whose sum is σ = 4314713405184. Its totient is φ = 1026247392000.

The previous prime is 2122012110079. The next prime is 2122012110121. The reversal of 2122012110112 is 2110112102212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1361662 + ... + 2469442.

It is an arithmetic number, because the mean of its divisors is an integer number (89889862608).

Almost surely, 2^{2122012110112} 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 2122012110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157356702592).

2122012110112 is an abundant number, since it is smaller than the sum of its proper divisors (2192701295072).

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

2122012110112 is a wasteful number, since it uses less digits than its factorization.

2122012110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109753 (or 1109745 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2122012110112 its reverse (2110112102212), we get a palindrome (4232124212324).

The spelling of 2122012110112 in words is "two trillion, one hundred twenty-two billion, twelve million, one hundred ten thousand, one hundred twelve".