1117200720 has 80 divisors (see below), whose sum is σ = 3477991680. Its totient is φ = 296658432.

The previous prime is 1117200683. The next prime is 1117200751. The reversal of 1117200720 is 270027111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 47622 + ... + 67098.

It is an arithmetic number, because the mean of its divisors is an integer number (43474896).

Almost surely, 2^1117200720 is an apocalyptic number.

1117200720 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 1117200720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738995840).

1117200720 is an abundant number, since it is smaller than the sum of its proper divisors (2360790960).

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

1117200720 is a wasteful number, since it uses less digits than its factorization.

1117200720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19732 (or 19726 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 1117200720 is about 33424.5526522046. The cubic root of 1117200720 is about 1037.6329054106.

Adding to 1117200720 its reverse (270027111), we get a palindrome (1387227831).

The spelling of 1117200720 in words is "one billion, one hundred seventeen million, two hundred thousand, seven hundred twenty".