11214112 has 48 divisors (see below), whose sum is σ = 27179712. Its totient is φ = 4435200.

The previous prime is 11214109. The next prime is 11214113. The reversal of 11214112 is 21141211.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 junction number, because it is equal to n+sod(n) for n = 11214092 and 11214101.

It is not an unprimeable number, because it can be changed into a prime (11214113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 987 + ... + 4837.

It is an arithmetic number, because the mean of its divisors is an integer number (566244).

Almost surely, 2^11214112 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 11214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589856).

11214112 is an abundant number, since it is smaller than the sum of its proper divisors (15965600).

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

11214112 is a wasteful number, since it uses less digits than its factorization.

11214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3873 counting only the distinct ones).

The product of its digits is 16, while the sum is 13.

The square root of 11214112 is about 3348.7478256805. The cubic root of 11214112 is about 223.8317188477.

Adding to 11214112 its reverse (21141211), we get a palindrome (32355323).

The spelling of 11214112 in words is "eleven million, two hundred fourteen thousand, one hundred twelve".