12345517340000 has 240 divisors, whose sum is σ = 32724376035120. Its totient is φ = 4556079360000.

The previous prime is 12345517339997. The next prime is 12345517340077. The reversal of 12345517340000 is 4371554321.

12345517340000 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 577449311 + ... + 577470689.

It is an arithmetic number, because the mean of its divisors is an integer number (136351566813).

Almost surely, 2^{12345517340000} is an apocalyptic number.

12345517340000 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 12345517340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362188017560).

12345517340000 is an abundant number, since it is smaller than the sum of its proper divisors (20378858695120).

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

12345517340000 is a wasteful number, since it uses less digits than its factorization.

12345517340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23643 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

Adding to 12345517340000 its reverse (4371554321), we get a palindrome (12349888894321).

The spelling of 12345517340000 in words is "twelve trillion, three hundred forty-five billion, five hundred seventeen million, three hundred forty thousand".