11505104120 has 128 divisors (see below), whose sum is σ = 27247933440. Its totient is φ = 4367623680.

The previous prime is 11505104089. The next prime is 11505104159. The reversal of 11505104120 is 2140150511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11505104092 and 11505104101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10822709 + ... + 10823771.

It is an arithmetic number, because the mean of its divisors is an integer number (212874480).

Almost surely, 2^11505104120 is an apocalyptic number.

11505104120 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 11505104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623966720).

11505104120 is an abundant number, since it is smaller than the sum of its proper divisors (15742829320).

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

11505104120 is a wasteful number, since it uses less digits than its factorization.

11505104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 11505104120 its reverse (2140150511), we get a palindrome (13645254631).

The spelling of 11505104120 in words is "eleven billion, five hundred five million, one hundred four thousand, one hundred twenty".