1121132112 has 80 divisors (see below), whose sum is σ = 3092897280. Its totient is φ = 349171200.

The previous prime is 1121132087. The next prime is 1121132119. The reversal of 1121132112 is 2112311211.

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 = 1121132091 and 1121132100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121132119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30162 + ... + 56142.

It is an arithmetic number, because the mean of its divisors is an integer number (38661216).

Almost surely, 2^1121132112 is an apocalyptic number.

1121132112 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 1121132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546448640).

1121132112 is an abundant number, since it is smaller than the sum of its proper divisors (1971765168).

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

1121132112 is a wasteful number, since it uses less digits than its factorization.

1121132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26052 (or 26046 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 1121132112 is about 33483.3109473959. The cubic root of 1121132112 is about 1038.8486123529.

Adding to 1121132112 its reverse (2112311211), we get a palindrome (3233443323).

The spelling of 1121132112 in words is "one billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred twelve".