12839719120032 has 768 divisors, whose sum is σ = 43289795727360. Its totient is φ = 3243824381952.

The previous prime is 12839719120027. The next prime is 12839719120099. The reversal of 12839719120032 is 23002191793821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18799002763 + ... + 18799003445.

It is an arithmetic number, because the mean of its divisors is an integer number (56366921520).

Almost surely, 2^{12839719120032} is an apocalyptic number.

12839719120032 is a gapful number since it is divisible by the number (12) 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 12839719120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21644897863680).

12839719120032 is an abundant number, since it is smaller than the sum of its proper divisors (30450076607328).

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

12839719120032 is a wasteful number, since it uses less digits than its factorization.

12839719120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 12839719120032 in words is "twelve trillion, eight hundred thirty-nine billion, seven hundred nineteen million, one hundred twenty thousand, thirty-two".