11707120 has 40 divisors (see below), whose sum is σ = 27676800. Its totient is φ = 4604160.

The previous prime is 11707109. The next prime is 11707159. The reversal of 11707120 is 2170711.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 3681 + ... + 6079.

It is an arithmetic number, because the mean of its divisors is an integer number (691920).

Almost surely, 2^11707120 is an apocalyptic number.

11707120 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 11707120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838400).

11707120 is an abundant number, since it is smaller than the sum of its proper divisors (15969680).

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

11707120 is a wasteful number, since it uses less digits than its factorization.

11707120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 11707120 is about 3421.5668925216. The cubic root of 11707120 is about 227.0649092778.

Adding to 11707120 its reverse (2170711), we get a palindrome (13877831).

The spelling of 11707120 in words is "eleven million, seven hundred seven thousand, one hundred twenty".