11304241113120 has 48 divisors (see below), whose sum is σ = 35608359507840. Its totient is φ = 3014464296704.

The previous prime is 11304241113119. The next prime is 11304241113131. The reversal of 11304241113120 is 2131114240311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×11304241113120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11775250680 + ... + 11775251639.

It is an arithmetic number, because the mean of its divisors is an integer number (741840823080).

Almost surely, 2^{11304241113120} is an apocalyptic number.

11304241113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304241113120 is an abundant number, since it is smaller than the sum of its proper divisors (24304118394720).

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

11304241113120 is a wasteful number, since it uses less digits than its factorization.

11304241113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23550502337 (or 23550502329 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11304241113120 its reverse (2131114240311), we get a palindrome (13435355353431).

The spelling of 11304241113120 in words is "eleven trillion, three hundred four billion, two hundred forty-one million, one hundred thirteen thousand, one hundred twenty".