1304111120 has 40 divisors (see below), whose sum is σ = 3265296216. Its totient is φ = 481517568.

The previous prime is 1304111087. The next prime is 1304111129. The reversal of 1304111120 is 211114031.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 1302632464 = 1216^2 + 36092^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1304111095 and 1304111104.

It is not an unprimeable number, because it can be changed into a prime (1304111129) 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, 625937 + ... + 628016.

Almost surely, 2^1304111120 is an apocalyptic number.

1304111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304111120 is an abundant number, since it is smaller than the sum of its proper divisors (1961185096).

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

1304111120 is a wasteful number, since it uses less digits than its factorization.

1304111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253979 (or 1253973 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1304111120 is about 36112.4787296580. The cubic root of 1304111120 is about 1092.5421460525.

Adding to 1304111120 its reverse (211114031), we get a palindrome (1515225151).

The spelling of 1304111120 in words is "one billion, three hundred four million, one hundred eleven thousand, one hundred twenty".