13124512126000 has 320 divisors, whose sum is σ = 36367958016000. Its totient is φ = 4534383744000.

The previous prime is 13124512125983. The next prime is 13124512126001. The reversal of 13124512126000 is 62121542131.

13124512126000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13124512126000.

It is not an unprimeable number, because it can be changed into a prime (13124512126001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75306961 + ... + 75481039.

It is an arithmetic number, because the mean of its divisors is an integer number (113649868800).

Almost surely, 2^{13124512126000} is an apocalyptic number.

13124512126000 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 13124512126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18183979008000).

13124512126000 is an abundant number, since it is smaller than the sum of its proper divisors (23243445890000).

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

13124512126000 is a wasteful number, since it uses less digits than its factorization.

13124512126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174285 (or 174269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 13124512126000 its reverse (62121542131), we get a palindrome (13186633668131).

The spelling of 13124512126000 in words is "thirteen trillion, one hundred twenty-four billion, five hundred twelve million, one hundred twenty-six thousand".