11112912 has 60 divisors (see below), whose sum is σ = 31329220. Its totient is φ = 3677184.

The previous prime is 11112901. The next prime is 11112923. The reversal of 11112912 is 21921111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11112901) and next prime (11112923).

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 4016016 = 2664^2 + 2004^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32808 + ... + 33144.

Almost surely, 2^11112912 is an apocalyptic number.

11112912 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 11112912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664610).

11112912 is an abundant number, since it is smaller than the sum of its proper divisors (20216308).

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

11112912 is a wasteful number, since it uses less digits than its factorization.

11112912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 571 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

The square root of 11112912 is about 3333.6034557218. The cubic root of 11112912 is about 223.1563717864.

The spelling of 11112912 in words is "eleven million, one hundred twelve thousand, nine hundred twelve".