2213211312 has 120 divisors (see below), whose sum is σ = 6796533744. Its totient is φ = 668109312.

The previous prime is 2213211293. The next prime is 2213211337. The reversal of 2213211312 is 2131123122.

2213211312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213211312² = 9796608623129522688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88063 + ... + 110369.

Almost surely, 2^2213211312 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 2213211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398266872).

2213211312 is an abundant number, since it is smaller than the sum of its proper divisors (4583322432).

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

2213211312 is a wasteful number, since it uses less digits than its factorization.

2213211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22387 (or 22378 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2213211312 is about 47044.7798591937. The cubic root of 2213211312 is about 1303.1896649104.

Adding to 2213211312 its reverse (2131123122), we get a palindrome (4344334434).

The spelling of 2213211312 in words is "two billion, two hundred thirteen million, two hundred eleven thousand, three hundred twelve".