12730345115100 has 144 divisors (see below), whose sum is σ = 39028337526528. Its totient is φ = 3192727976960.

The previous prime is 12730345115077. The next prime is 12730345115101. The reversal of 12730345115100 is 151154303721.

12730345115100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12730345115101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6058699 + ... + 7884701.

It is an arithmetic number, because the mean of its divisors is an integer number (271030121712).

Almost surely, 2^{12730345115100} is an apocalyptic number.

12730345115100 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 12730345115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514168763264).

12730345115100 is an abundant number, since it is smaller than the sum of its proper divisors (26297992411428).

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

12730345115100 is a wasteful number, since it uses less digits than its factorization.

12730345115100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827404 (or 1827397 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

Adding to 12730345115100 its reverse (151154303721), we get a palindrome (12881499418821).

The spelling of 12730345115100 in words is "twelve trillion, seven hundred thirty billion, three hundred forty-five million, one hundred fifteen thousand, one hundred".