11304410530120 has 128 divisors (see below), whose sum is σ = 26096666883840. Its totient is φ = 4405848186880.

The previous prime is 11304410530109. The next prime is 11304410530139. The reversal of 11304410530120 is 2103501440311.

It is a super-3 number, since 3×11304410530120³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111308484 + ... + 111409996.

It is an arithmetic number, because the mean of its divisors is an integer number (203880210030).

Almost surely, 2^{11304410530120} is an apocalyptic number.

11304410530120 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 11304410530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048333441920).

11304410530120 is an abundant number, since it is smaller than the sum of its proper divisors (14792256353720).

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

11304410530120 is a wasteful number, since it uses less digits than its factorization.

11304410530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102055 (or 102051 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 11304410530120 its reverse (2103501440311), we get a palindrome (13407911970431).

The spelling of 11304410530120 in words is "eleven trillion, three hundred four billion, four hundred ten million, five hundred thirty thousand, one hundred twenty".