11131224132 has 96 divisors (see below), whose sum is σ = 30443212800. Its totient is φ = 3099502080.

The previous prime is 11131224131. The next prime is 11131224191. The reversal of 11131224132 is 23142213111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11131224099 and 11131224108.

It is not an unprimeable number, because it can be changed into a prime (11131224131) 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 31 ways as a sum of consecutive naturals, for example, 945619 + ... + 957317.

It is an arithmetic number, because the mean of its divisors is an integer number (317116800).

Almost surely, 2^11131224132 is an apocalyptic number.

11131224132 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 11131224132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221606400).

11131224132 is an abundant number, since it is smaller than the sum of its proper divisors (19311988668).

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

11131224132 is a wasteful number, since it uses less digits than its factorization.

11131224132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12001 (or 11999 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 11131224132 its reverse (23142213111), we get a palindrome (34273437243).

The spelling of 11131224132 in words is "eleven billion, one hundred thirty-one million, two hundred twenty-four thousand, one hundred thirty-two".