12839110000 has 100 divisors (see below), whose sum is σ = 31372613800. Its totient is φ = 5088096000.

The previous prime is 12839109977. The next prime is 12839110019. The reversal of 12839110000 is 1193821.

12839110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1084111 + ... + 1095889.

It is an arithmetic number, because the mean of its divisors is an integer number (313726138).

Almost surely, 2^12839110000 is an apocalyptic number.

12839110000 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 12839110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15686306900).

12839110000 is an abundant number, since it is smaller than the sum of its proper divisors (18533503800).

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

12839110000 is a wasteful number, since it uses less digits than its factorization.

12839110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916 (or 11895 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 12839110000 in words is "twelve billion, eight hundred thirty-nine million, one hundred ten thousand".