11300130240120 has 192 divisors, whose sum is σ = 38348063470080. Its totient is φ = 2880405335808.

The previous prime is 11300130240109. The next prime is 11300130240149. The reversal of 11300130240120 is 2104203100311.

11300130240120 is a `hidden beast` number, since 1 + 1 + 300 + 1 + 3 + 0 + 240 + 120 = 666.

11300130240120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11300130240120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11300130240093 and 11300130240102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11819109 + ... + 12739371.

It is an arithmetic number, because the mean of its divisors is an integer number (199729497240).

Almost surely, 2^{11300130240120} is an apocalyptic number.

11300130240120 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 11300130240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19174031735040).

11300130240120 is an abundant number, since it is smaller than the sum of its proper divisors (27047933229960).

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

11300130240120 is a wasteful number, since it uses less digits than its factorization.

11300130240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921786 (or 921779 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11300130240120 its reverse (2104203100311), we get a palindrome (13404333340431).

The spelling of 11300130240120 in words is "eleven trillion, three hundred billion, one hundred thirty million, two hundred forty thousand, one hundred twenty".