1120320000 has 300 divisors, whose sum is σ = 4050742410. Its totient is φ = 297984000.

The previous prime is 1120319987. The next prime is 1120320007. The reversal of 1120320000 is 230211.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1016064 + 1119303936 = 1008^2 + 33456^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1120320007) 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 29 ways as a sum of consecutive naturals, for example, 2879806 + ... + 2880194.

Almost surely, 2^1120320000 is an apocalyptic number.

1120320000 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 1120320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025371205).

1120320000 is an abundant number, since it is smaller than the sum of its proper divisors (2930422410).

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

1120320000 is an frugal number, since it uses more digits than its factorization.

1120320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1120320000 is about 33471.1816343552. The cubic root of 1120320000 is about 1038.5977156018.

Adding to 1120320000 its reverse (230211), we get a palindrome (1120550211).

The spelling of 1120320000 in words is "one billion, one hundred twenty million, three hundred twenty thousand".