12330313011120 has 640 divisors, whose sum is σ = 42881965378560. Its totient is φ = 2910053744640.

The previous prime is 12330313011103. The next prime is 12330313011151. The reversal of 12330313011120 is 2111031303321.

It is a happy number.

It is a super-2 number, since 2×12330313011120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9550977675 + ... + 9550978965.

It is an arithmetic number, because the mean of its divisors is an integer number (67003070904).

Almost surely, 2^{12330313011120} is an apocalyptic number.

12330313011120 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 12330313011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21440982689280).

12330313011120 is an abundant number, since it is smaller than the sum of its proper divisors (30551652367440).

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

12330313011120 is a wasteful number, since it uses less digits than its factorization.

12330313011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1999 counting only the distinct ones).

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

Adding to 12330313011120 its reverse (2111031303321), we get a palindrome (14441344314441).

The spelling of 12330313011120 in words is "twelve trillion, three hundred thirty billion, three hundred thirteen million, eleven thousand, one hundred twenty".