13511222120 has 128 divisors (see below), whose sum is σ = 34766807040. Its totient is φ = 4677699840.

The previous prime is 13511222111. The next prime is 13511222159. The reversal of 13511222120 is 2122211531.

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 = 13511222092 and 13511222101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2253767 + ... + 2259753.

It is an arithmetic number, because the mean of its divisors is an integer number (271615680).

Almost surely, 2^13511222120 is an apocalyptic number.

13511222120 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 13511222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17383403520).

13511222120 is an abundant number, since it is smaller than the sum of its proper divisors (21255584920).

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

13511222120 is a wasteful number, since it uses less digits than its factorization.

13511222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6255 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 13511222120 its reverse (2122211531), we get a palindrome (15633433651).

The spelling of 13511222120 in words is "thirteen billion, five hundred eleven million, two hundred twenty-two thousand, one hundred twenty".