2112232322112 has 336 divisors, whose sum is σ = 6273148760256. Its totient is φ = 626625331200.

The previous prime is 2112232322017. The next prime is 2112232322129.

2112232322112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232338687 + ... + 232347777.

It is an arithmetic number, because the mean of its divisors is an integer number (18670085596).

Almost surely, 2^{2112232322112} is an apocalyptic number.

2112232322112 is a gapful number since it is divisible by the number (22) 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 2112232322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136574380128).

2112232322112 is an abundant number, since it is smaller than the sum of its proper divisors (4160916438144).

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

2112232322112 is a wasteful number, since it uses less digits than its factorization.

2112232322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338 (or 9317 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The spelling of 2112232322112 in words is "two trillion, one hundred twelve billion, two hundred thirty-two million, three hundred twenty-two thousand, one hundred twelve".