213222222312 has 128 divisors (see below), whose sum is σ = 591765419520. Its totient is φ = 63483680000.

The previous prime is 213222222281. The next prime is 213222222329.

213222222312 is nontrivially palindromic in base 10.

213222222312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3462463 + ... + 3523505.

It is an arithmetic number, because the mean of its divisors is an integer number (4623167340).

Almost surely, 2^213222222312 is an apocalyptic number.

213222222312 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 213222222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295882709760).

213222222312 is an abundant number, since it is smaller than the sum of its proper divisors (378543197208).

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

213222222312 is a wasteful number, since it uses less digits than its factorization.

213222222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61295 (or 61291 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

It can be divided in two parts, 213222 and 222312, that added together give a palindrome (435534).

The spelling of 213222222312 in words is "two hundred thirteen billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred twelve".