11304004120 has 64 divisors (see below), whose sum is σ = 26580726720. Its totient is φ = 4318347264.

The previous prime is 11304004109. The next prime is 11304004121. The reversal of 11304004120 is 2140040311.

It is a super-3 number, since 3×11304004120³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11304004094 and 11304004103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304004121) 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, 610032 + ... + 628288.

It is an arithmetic number, because the mean of its divisors is an integer number (415323855).

Almost surely, 2^11304004120 is an apocalyptic number.

11304004120 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 11304004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13290363360).

11304004120 is an abundant number, since it is smaller than the sum of its proper divisors (15276722600).

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

11304004120 is a wasteful number, since it uses less digits than its factorization.

11304004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18964 (or 18960 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11304004120 its reverse (2140040311), we get a palindrome (13444044431).

The spelling of 11304004120 in words is "eleven billion, three hundred four million, four thousand, one hundred twenty".