11304143120 has 40 divisors (see below), whose sum is σ = 26286721560. Its totient is φ = 4520867840.

The previous prime is 11304143113. The next prime is 11304143129. The reversal of 11304143120 is 2134140311.

It can be written as a sum of positive squares in 4 ways, for example, as 8496414976 + 2807728144 = 92176^2 + 52988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×11304143120³ (a number of 31 digits) contains 333 as substring.

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 = 11304143092 and 11304143101.

It is not an unprimeable number, because it can be changed into a prime (11304143129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715466 + ... + 731094.

It is an arithmetic number, because the mean of its divisors is an integer number (657168039).

Almost surely, 2^11304143120 is an apocalyptic number.

11304143120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304143120 is an abundant number, since it is smaller than the sum of its proper divisors (14982578440).

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

11304143120 is a wasteful number, since it uses less digits than its factorization.

11304143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24683 (or 24677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11304143120 its reverse (2134140311), we get a palindrome (13438283431).

The spelling of 11304143120 in words is "eleven billion, three hundred four million, one hundred forty-three thousand, one hundred twenty".