11330331012120 has 128 divisors (see below), whose sum is σ = 34638101798400. Its totient is φ = 2964111169536.

The previous prime is 11330331012113. The next prime is 11330331012131. The reversal of 11330331012120 is 2121013303311.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1804912 + ... + 5091008.

It is an arithmetic number, because the mean of its divisors is an integer number (270610170300).

Almost surely, 2^{11330331012120} is an apocalyptic number.

11330331012120 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 11330331012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17319050899200).

11330331012120 is an abundant number, since it is smaller than the sum of its proper divisors (23307770786280).

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

11330331012120 is a wasteful number, since it uses less digits than its factorization.

11330331012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286657 (or 3286653 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11330331012120 its reverse (2121013303311), we get a palindrome (13451344315431).

The spelling of 11330331012120 in words is "eleven trillion, three hundred thirty billion, three hundred thirty-one million, twelve thousand, one hundred twenty".