1159120032 has 96 divisors (see below), whose sum is σ = 3483648000. Its totient is φ = 330578688.

The previous prime is 1159120031. The next prime is 1159120087. The reversal of 1159120032 is 2300219511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1159119984 and 1159120011.

It is not an unprimeable number, because it can be changed into a prime (1159120031) 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 15 ways as a sum of consecutive naturals, for example, 481969 + ... + 484367.

It is an arithmetic number, because the mean of its divisors is an integer number (36288000).

Almost surely, 2^1159120032 is an apocalyptic number.

1159120032 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 1159120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824000).

1159120032 is an abundant number, since it is smaller than the sum of its proper divisors (2324527968).

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

1159120032 is a wasteful number, since it uses less digits than its factorization.

1159120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1159120032 is about 34045.8519059224. The cubic root of 1159120032 is about 1050.4518182517.

Adding to 1159120032 its reverse (2300219511), we get a palindrome (3459339543).

The spelling of 1159120032 in words is "one billion, one hundred fifty-nine million, one hundred twenty thousand, thirty-two".