11328000120 has 256 divisors, whose sum is σ = 38761804800. Its totient is φ = 2941678080.

The previous prime is 11328000029. The next prime is 11328000199. The reversal of 11328000120 is 2100082311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11328000093 and 11328000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7048357 + ... + 7049963.

It is an arithmetic number, because the mean of its divisors is an integer number (151413300).

Almost surely, 2^11328000120 is an apocalyptic number.

11328000120 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 11328000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380902400).

11328000120 is an abundant number, since it is smaller than the sum of its proper divisors (27433804680).

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

11328000120 is a wasteful number, since it uses less digits than its factorization.

11328000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11328000120 its reverse (2100082311), we get a palindrome (13428082431).

The spelling of 11328000120 in words is "eleven billion, three hundred twenty-eight million, one hundred twenty", and thus it is an aban number.