12881615968320 has 448 divisors, whose sum is σ = 46432324915200. Its totient is φ = 2997066096640.

The previous prime is 12881615968307. The next prime is 12881615968327. The reversal of 12881615968320 is 2386951618821.

It is a super-2 number, since 2×12881615968320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (12881615968327) 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, 51016141 + ... + 51268019.

It is an arithmetic number, because the mean of its divisors is an integer number (103643582400).

Almost surely, 2^{12881615968320} is an apocalyptic number.

12881615968320 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 12881615968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23216162457600).

12881615968320 is an abundant number, since it is smaller than the sum of its proper divisors (33550708946880).

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

12881615968320 is a wasteful number, since it uses less digits than its factorization.

12881615968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252106 (or 252096 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 12881615968320 in words is "twelve trillion, eight hundred eighty-one billion, six hundred fifteen million, nine hundred sixty-eight thousand, three hundred twenty".