12961217416 has 128 divisors (see below), whose sum is σ = 29719872000. Its totient is φ = 5179299840.

The previous prime is 12961217413. The next prime is 12961217447. The reversal of 12961217416 is 61471216921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12961217413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12355260 + ... + 12356308.

It is an arithmetic number, because the mean of its divisors is an integer number (232186500).

Almost surely, 2^12961217416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12961217416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936000).

12961217416 is an abundant number, since it is smaller than the sum of its proper divisors (16758654584).

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

12961217416 is a wasteful number, since it uses less digits than its factorization.

12961217416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1315 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The spelling of 12961217416 in words is "twelve billion, nine hundred sixty-one million, two hundred seventeen thousand, four hundred sixteen".