2212123313322 has 160 divisors (see below), whose sum is σ = 5365446517200. Its totient is φ = 677174141952.

The previous prime is 2212123313287. The next prime is 2212123313369. The reversal of 2212123313322 is 2233133212122.

2212123313322 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 1 + 2 + 331 + 3 + 322 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 794378255841 + 1417745057481 = 891279^2 + 1190691^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 341954304 + ... + 341960772.

Almost surely, 2^{2212123313322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212123313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682723258600).

2212123313322 is an abundant number, since it is smaller than the sum of its proper divisors (3153323203878).

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

2212123313322 is a wasteful number, since it uses less digits than its factorization.

2212123313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 7293 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 2212123313322 its reverse (2233133212122), we get a palindrome (4445256525444).

The spelling of 2212123313322 in words is "two trillion, two hundred twelve billion, one hundred twenty-three million, three hundred thirteen thousand, three hundred twenty-two".