11307120 has 80 divisors (see below), whose sum is σ = 38247552. Its totient is φ = 2740480.

The previous prime is 11307113. The next prime is 11307133. The reversal of 11307120 is 2170311.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11307120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499 + ... + 4781.

Almost surely, 2^11307120 is an apocalyptic number.

11307120 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 11307120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776).

11307120 is an abundant number, since it is smaller than the sum of its proper divisors (26940432).

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

11307120 is a wasteful number, since it uses less digits than its factorization.

11307120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11307120 is about 3362.6061321540. The cubic root of 11307120 is about 224.4488237408.

Adding to 11307120 its reverse (2170311), we get a palindrome (13477431).

The spelling of 11307120 in words is "eleven million, three hundred seven thousand, one hundred twenty".