11730120 has 64 divisors (see below), whose sum is σ = 35424000. Its totient is φ = 3107328.

The previous prime is 11730109. The next prime is 11730127. The reversal of 11730120 is 2103711.

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 11730120.

It is not an unprimeable number, because it can be changed into a prime (11730127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28476 + ... + 28884.

It is an arithmetic number, because the mean of its divisors is an integer number (553500).

Almost surely, 2^11730120 is an apocalyptic number.

11730120 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 11730120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712000).

11730120 is an abundant number, since it is smaller than the sum of its proper divisors (23693880).

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

11730120 is a wasteful number, since it uses less digits than its factorization.

11730120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

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

The square root of 11730120 is about 3424.9262765788. The cubic root of 11730120 is about 227.2135104873.

Adding to 11730120 its reverse (2103711), we get a palindrome (13833831).

The spelling of 11730120 in words is "eleven million, seven hundred thirty thousand, one hundred twenty".