11105232120 has 192 divisors, whose sum is σ = 37496571840. Its totient is φ = 2848204800.

The previous prime is 11105232109. The next prime is 11105232139. The reversal of 11105232120 is 2123250111.

11105232120 is a `hidden beast` number, since 11 + 10 + 523 + 2 + 120 = 666.

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 = 11105232093 and 11105232102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042662 + ... + 1053258.

It is an arithmetic number, because the mean of its divisors is an integer number (195294645).

Almost surely, 2^11105232120 is an apocalyptic number.

11105232120 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 11105232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748285920).

11105232120 is an abundant number, since it is smaller than the sum of its proper divisors (26391339720).

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

11105232120 is a wasteful number, since it uses less digits than its factorization.

11105232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10726 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11105232120 its reverse (2123250111), we get a palindrome (13228482231).

The spelling of 11105232120 in words is "eleven billion, one hundred five million, two hundred thirty-two thousand, one hundred twenty".