11600133120 has 440 divisors, whose sum is σ = 42193975824. Its totient is φ = 3047030784.

The previous prime is 11600133119. The next prime is 11600133173. The reversal of 11600133120 is 2133100611.

11600133120 is a `hidden beast` number, since 1 + 1 + 600 + 13 + 31 + 20 = 666.

11600133120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11600133093 and 11600133102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34421592 + ... + 34421928.

Almost surely, 2^11600133120 is an apocalyptic number.

11600133120 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 11600133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096987912).

11600133120 is an abundant number, since it is smaller than the sum of its proper divisors (30593842704).

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

11600133120 is an equidigital number, since it uses as much as digits as its factorization.

11600133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11600133120 its reverse (2133100611), we get a palindrome (13733233731).

The spelling of 11600133120 in words is "eleven billion, six hundred million, one hundred thirty-three thousand, one hundred twenty".