1120224132 has 144 divisors (see below), whose sum is σ = 3009726720. Its totient is φ = 350913024.

The previous prime is 1120224113. The next prime is 1120224137. The reversal of 1120224132 is 2314220211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1120224137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6475198 + ... + 6475370.

It is an arithmetic number, because the mean of its divisors is an integer number (20900880).

Almost surely, 2^1120224132 is an apocalyptic number.

1120224132 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 1120224132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504863360).

1120224132 is an abundant number, since it is smaller than the sum of its proper divisors (1889502588).

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

1120224132 is a wasteful number, since it uses less digits than its factorization.

1120224132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1120224132 is about 33469.7495060838. The cubic root of 1120224132 is about 1038.5680898026.

Adding to 1120224132 its reverse (2314220211), we get a palindrome (3434444343).

The spelling of 1120224132 in words is "one billion, one hundred twenty million, two hundred twenty-four thousand, one hundred thirty-two".