11264112 has 120 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3383424.

The previous prime is 11264111. The next prime is 11264159. The reversal of 11264112 is 21146211.

11264112 is a `hidden beast` number, since 1 + 12 + 641 + 12 = 666.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62839 + ... + 63017.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^11264112 is an apocalyptic number.

11264112 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 11264112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

11264112 is an abundant number, since it is smaller than the sum of its proper divisors (23555088).

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

11264112 is a wasteful number, since it uses less digits than its factorization.

11264112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 11264112 is about 3356.2049996983. The cubic root of 11264112 is about 224.1638894149.

The spelling of 11264112 in words is "eleven million, two hundred sixty-four thousand, one hundred twelve".