2211312 has 40 divisors (see below), whose sum is σ = 5963904. Its totient is φ = 704704.

The previous prime is 2211281. The next prime is 2211329. The reversal of 2211312 is 2131122.

2211312 = 299² + 300² + ... + 321².

It is a super-2 number, since 2×2211312² = 9779801522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 2105.

2^2211312 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 2211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981952).

2211312 is an abundant number, since it is smaller than the sum of its proper divisors (3752592).

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

2211312 is a wasteful number, since it uses less digits than its factorization.

2211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2031 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 2211312 is about 1487.0480826120. The cubic root of 2211312 is about 130.2816772042.

Adding to 2211312 its reverse (2131122), we get a palindrome (4342434).

It can be divided in two parts, 22113 and 12, that multiplied together give a triangular number (265356 = T₇₂₈).

The spelling of 2211312 in words is "two million, two hundred eleven thousand, three hundred twelve".