1121182720 has 264 divisors, whose sum is σ = 3234341880. Its totient is φ = 371589120.

The previous prime is 1121182709. The next prime is 1121182721. The reversal of 1121182720 is 272811211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22127616 + 1099055104 = 4704^2 + 33152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121182721) 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 23 ways as a sum of consecutive naturals, for example, 10286026 + ... + 10286134.

It is an arithmetic number, because the mean of its divisors is an integer number (12251295).

Almost surely, 2^1121182720 is an apocalyptic number.

1121182720 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 1121182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617170940).

1121182720 is an abundant number, since it is smaller than the sum of its proper divisors (2113159160).

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

1121182720 is a wasteful number, since it uses less digits than its factorization.

1121182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 1121182720 is about 33484.0666586363. The cubic root of 1121182720 is about 1038.8642433563.

Adding to 1121182720 its reverse (272811211), we get a palindrome (1393993931).

The spelling of 1121182720 in words is "one billion, one hundred twenty-one million, one hundred eighty-two thousand, seven hundred twenty".