1120133140 has 144 divisors (see below), whose sum is σ = 2837866752. Its totient is φ = 370078464.

The previous prime is 1120133123. The next prime is 1120133173. The reversal of 1120133140 is 413310211.

It is a congruent number.

It is an unprimeable number.

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, 3822834 + ... + 3823126.

It is an arithmetic number, because the mean of its divisors is an integer number (19707408).

Almost surely, 2^1120133140 is an apocalyptic number.

1120133140 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 1120133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418933376).

1120133140 is an abundant number, since it is smaller than the sum of its proper divisors (1717733612).

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

1120133140 is a wasteful number, since it uses less digits than its factorization.

1120133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1120133140 is about 33468.3901614643. The cubic root of 1120133140 is about 1038.5399692555.

Adding to 1120133140 its reverse (413310211), we get a palindrome (1533443351).

The spelling of 1120133140 in words is "one billion, one hundred twenty million, one hundred thirty-three thousand, one hundred forty".