12908240133516 has 1536 divisors, whose sum is σ = 46924274073600. Its totient is φ = 2970576322560.

The previous prime is 12908240133511. The next prime is 12908240133541. The reversal of 12908240133516 is 61533104280921.

12908240133516 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 82 + 40 + 13 + 3 + 516 = 666.

It is not an unprimeable number, because it can be changed into a prime (12908240133511) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 31560489120 + ... + 31560489528.

It is an arithmetic number, because the mean of its divisors is an integer number (30549657600).

Almost surely, 2^{12908240133516} 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 12908240133516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23462137036800).

12908240133516 is an abundant number, since it is smaller than the sum of its proper divisors (34016033940084).

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

12908240133516 is a wasteful number, since it uses less digits than its factorization.

12908240133516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12908240133516 in words is "twelve trillion, nine hundred eight billion, two hundred forty million, one hundred thirty-three thousand, five hundred sixteen".