11530142120 has 96 divisors (see below), whose sum is σ = 30355845120. Its totient is φ = 3861083520.

The previous prime is 11530142119. The next prime is 11530142149. The reversal of 11530142120 is 2124103511.

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 = 11530142092 and 11530142101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506585 + ... + 528855.

It is an arithmetic number, because the mean of its divisors is an integer number (316206720).

Almost surely, 2^11530142120 is an apocalyptic number.

11530142120 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 11530142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177922560).

11530142120 is an abundant number, since it is smaller than the sum of its proper divisors (18825703000).

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

11530142120 is a wasteful number, since it uses less digits than its factorization.

11530142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22375 (or 22328 counting only the distinct ones).

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

Adding to 11530142120 its reverse (2124103511), we get a palindrome (13654245631).

The spelling of 11530142120 in words is "eleven billion, five hundred thirty million, one hundred forty-two thousand, one hundred twenty".