1120133120 has 224 divisors, whose sum is σ = 2972531520. Its totient is φ = 403701760.

The previous prime is 1120133107. The next prime is 1120133123. The reversal of 1120133120 is 213310211.

It is a junction number, because it is equal to n+sod(n) for n = 1120133095 and 1120133104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120133123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27320300 + ... + 27320340.

It is an arithmetic number, because the mean of its divisors is an integer number (13270230).

Almost surely, 2^1120133120 is an apocalyptic number.

1120133120 is a gapful number since it is divisible by the number (10) 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 1120133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486265760).

1120133120 is an abundant number, since it is smaller than the sum of its proper divisors (1852398400).

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

1120133120 is an equidigital number, since it uses as much as digits as its factorization.

1120133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1120133120 is about 33468.3898626749. The cubic root of 1120133120 is about 1038.5399630744.

Adding to 1120133120 its reverse (213310211), we get a palindrome (1333443331).

The spelling of 1120133120 in words is "one billion, one hundred twenty million, one hundred thirty-three thousand, one hundred twenty".