11282112 has 56 divisors (see below), whose sum is σ = 33172400. Its totient is φ = 3760128.

The previous prime is 11282111. The next prime is 11282119. The reversal of 11282112 is 21128211.

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 not an unprimeable number, because it can be changed into a prime (11282111) 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, 1537 + ... + 4992.

Almost surely, 2^11282112 is an apocalyptic number.

11282112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11282112 is an abundant number, since it is smaller than the sum of its proper divisors (21890288).

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

11282112 is an equidigital number, since it uses as much as digits as its factorization.

11282112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6550 (or 6534 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 11282112 is about 3358.8855294577. The cubic root of 11282112 is about 224.2832301624.

It can be divided in two parts, 1128 and 2112, that added together give a triangular number (3240 = T₈₀).

The spelling of 11282112 in words is "eleven million, two hundred eighty-two thousand, one hundred twelve".