1143033120 has 144 divisors (see below), whose sum is σ = 4045204800. Its totient is φ = 304798464.

The previous prime is 1143033113. The next prime is 1143033149. The reversal of 1143033120 is 213303411.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 1143033093 and 1143033102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24181 + ... + 53579.

It is an arithmetic number, because the mean of its divisors is an integer number (28091700).

Almost surely, 2^1143033120 is an apocalyptic number.

1143033120 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 1143033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022602400).

1143033120 is an abundant number, since it is smaller than the sum of its proper divisors (2902171680).

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

1143033120 is an equidigital number, since it uses as much as digits as its factorization.

1143033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29429 (or 29409 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1143033120 is about 33808.7728259989. The cubic root of 1143033120 is about 1045.5695772423.

Adding to 1143033120 its reverse (213303411), we get a palindrome (1356336531).

The spelling of 1143033120 in words is "one billion, one hundred forty-three million, thirty-three thousand, one hundred twenty".