11012112 has 100 divisors (see below), whose sum is σ = 33083820. Its totient is φ = 3532032.

The previous prime is 11012093. The next prime is 11012129. The reversal of 11012112 is 21121011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8503056 + 2509056 = 2916^2 + 1584^2 .

It is a super-2 number, since 2×11012112² = 242533221401088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11012094 and 11012103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37438 + ... + 37730.

Almost surely, 2^11012112 is an apocalyptic number.

11012112 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 11012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541910).

11012112 is an abundant number, since it is smaller than the sum of its proper divisors (22071708).

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

11012112 is a wasteful number, since it uses less digits than its factorization.

11012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 11012112 is about 3318.4502406997. The cubic root of 11012112 is about 222.4796059244.

Adding to 11012112 its reverse (21121011), we get a palindrome (32133123).

The spelling of 11012112 in words is "eleven million, twelve thousand, one hundred twelve".