11211312 has 80 divisors (see below), whose sum is σ = 33704192. Its totient is φ = 3144960.

The previous prime is 11211293. The next prime is 11211331. The reversal of 11211312 is 21311211.

It is an interprime number because it is at equal distance from previous prime (11211293) and next prime (11211331).

It is a super-2 number, since 2×11211312² = 251387033522688, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20223 + ... + 20769.

Almost surely, 2^11211312 is an apocalyptic number.

11211312 is a gapful number since it is divisible by the number (12) 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 11211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16852096).

11211312 is an abundant number, since it is smaller than the sum of its proper divisors (22492880).

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

11211312 is a wasteful number, since it uses less digits than its factorization.

11211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

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

The square root of 11211312 is about 3348.3297328668. The cubic root of 11211312 is about 223.8130881265.

Adding to 11211312 its reverse (21311211), we get a palindrome (32522523).

The spelling of 11211312 in words is "eleven million, two hundred eleven thousand, three hundred twelve".