1130445120 has 224 divisors, whose sum is σ = 4133088000. Its totient is φ = 256425984.

The previous prime is 1130445097. The next prime is 1130445131. The reversal of 1130445120 is 215440311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×1130445120³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 1000716 + ... + 1001844.

Almost surely, 2^1130445120 is an apocalyptic number.

1130445120 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 1130445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066544000).

1130445120 is an abundant number, since it is smaller than the sum of its proper divisors (3002642880).

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

1130445120 is a wasteful number, since it uses less digits than its factorization.

1130445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1130445120 is about 33622.0927367706. The cubic root of 1130445120 is about 1041.7171828586.

Adding to 1130445120 its reverse (215440311), we get a palindrome (1345885431).

The spelling of 1130445120 in words is "one billion, one hundred thirty million, four hundred forty-five thousand, one hundred twenty".