12815608709120 has 432 divisors, whose sum is σ = 36614964033648. Its totient is φ = 4291276308480.

The previous prime is 12815608709119. The next prime is 12815608709209. The reversal of 12815608709120 is 2190780651821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380838880 + ... + 1380848160.

It is an arithmetic number, because the mean of its divisors is an integer number (84756861189).

Almost surely, 2^{12815608709120} is an apocalyptic number.

12815608709120 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 12815608709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18307482016824).

12815608709120 is an abundant number, since it is smaller than the sum of its proper divisors (23799355324528).

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

12815608709120 is an frugal number, since it uses more digits than its factorization.

12815608709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9338 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 50.

The spelling of 12815608709120 in words is "twelve trillion, eight hundred fifteen billion, six hundred eight million, seven hundred nine thousand, one hundred twenty".