12513214000000 has 448 divisors, whose sum is σ = 35845050552480. Its totient is φ = 4262169600000.

The previous prime is 12513213999977. The next prime is 12513214000009. The reversal of 12513214000000 is 41231521.

12513214000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12513214000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2197997154 + ... + 2198002846.

Almost surely, 2^{12513214000000} is an apocalyptic number.

12513214000000 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 12513214000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922525276240).

12513214000000 is an abundant number, since it is smaller than the sum of its proper divisors (23331836552480).

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

12513214000000 is an frugal number, since it uses more digits than its factorization.

12513214000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5901 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 12513214000000 its reverse (41231521), we get a palindrome (12513255231521).

The spelling of 12513214000000 in words is "twelve trillion, five hundred thirteen billion, two hundred fourteen million", and thus it is an aban number.