12720139128000 has 896 divisors, whose sum is σ = 48014264712960. Its totient is φ = 3294568857600.

The previous prime is 12720139127999. The next prime is 12720139128001. The reversal of 12720139128000 is 82193102721.

12720139128000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12720139127999) and next prime (12720139128001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12720139128001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6369623002 + ... + 6369624998.

It is an arithmetic number, because the mean of its divisors is an integer number (53587349010).

Almost surely, 2^{12720139128000} is an apocalyptic number.

12720139128000 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 12720139128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24007132356480).

12720139128000 is an abundant number, since it is smaller than the sum of its proper divisors (35294125584960).

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

12720139128000 is a wasteful number, since it uses less digits than its factorization.

12720139128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12720139128000 in words is "twelve trillion, seven hundred twenty billion, one hundred thirty-nine million, one hundred twenty-eight thousand".