11505304120 has 64 divisors (see below), whose sum is σ = 26211924000. Its totient is φ = 4544483328.

The previous prime is 11505304079. The next prime is 11505304121. The reversal of 11505304120 is 2140350511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11505304091 and 11505304100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11505304121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3590439 + ... + 3593641.

Almost surely, 2^11505304120 is an apocalyptic number.

11505304120 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 11505304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105962000).

11505304120 is an abundant number, since it is smaller than the sum of its proper divisors (14706619880).

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

11505304120 is a wasteful number, since it uses less digits than its factorization.

11505304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 11505304120 its reverse (2140350511), we get a palindrome (13645654631).

The spelling of 11505304120 in words is "eleven billion, five hundred five million, three hundred four thousand, one hundred twenty".