12330135132512 has 96 divisors (see below), whose sum is σ = 25341131237184. Its totient is φ = 5900070092800.

The previous prime is 12330135132467. The next prime is 12330135132533. The reversal of 12330135132512 is 21523153103321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438827648 + ... + 438855744.

It is an arithmetic number, because the mean of its divisors is an integer number (263970117054).

Almost surely, 2^{12330135132512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330135132512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12670565618592).

12330135132512 is an abundant number, since it is smaller than the sum of its proper divisors (13010996104672).

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

12330135132512 is a wasteful number, since it uses less digits than its factorization.

12330135132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34512 (or 34504 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 12330135132512 its reverse (21523153103321), we get a palindrome (33853288235833).

The spelling of 12330135132512 in words is "twelve trillion, three hundred thirty billion, one hundred thirty-five million, one hundred thirty-two thousand, five hundred twelve".