12501435305216 has 144 divisors (see below), whose sum is σ = 29376871052928. Its totient is φ = 5234579251200.

The previous prime is 12501435305213. The next prime is 12501435305231. The reversal of 12501435305216 is 61250353410521.

12501435305216 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 12501435305216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12501435305213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17477486 + ... + 18178706.

Almost surely, 2^{12501435305216} is an apocalyptic number.

12501435305216 is a gapful number since it is divisible by the number (16) 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 12501435305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688435526464).

12501435305216 is an abundant number, since it is smaller than the sum of its proper divisors (16875435747712).

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

12501435305216 is a wasteful number, since it uses less digits than its factorization.

12501435305216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701748 (or 701734 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

Adding to 12501435305216 its reverse (61250353410521), we get a palindrome (73751788715737).

The spelling of 12501435305216 in words is "twelve trillion, five hundred one billion, four hundred thirty-five million, three hundred five thousand, two hundred sixteen".