1120327200 has 504 divisors, whose sum is σ = 4380258708. Its totient is φ = 278691840.

The previous prime is 1120327163. The next prime is 1120327207. The reversal of 1120327200 is 27230211.

It can be written as a sum of positive squares in 6 ways, for example, as 225360144 + 894967056 = 15012^2 + 29916^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120327207) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9914344 + ... + 9914456.

Almost surely, 2^1120327200 is an apocalyptic number.

1120327200 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 1120327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190129354).

1120327200 is an abundant number, since it is smaller than the sum of its proper divisors (3259931508).

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

1120327200 is a wasteful number, since it uses less digits than its factorization.

1120327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1120327200 is about 33471.2891893933. The cubic root of 1120327200 is about 1038.5999405279.

Adding to 1120327200 its reverse (27230211), we get a palindrome (1147557411).

The spelling of 1120327200 in words is "one billion, one hundred twenty million, three hundred twenty-seven thousand, two hundred".