12839120 has 80 divisors (see below), whose sum is σ = 34604928. Its totient is φ = 4339200.

The previous prime is 12839119. The next prime is 12839137. The reversal of 12839120 is 2193821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12839120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56447 + ... + 56673.

Almost surely, 2^12839120 is an apocalyptic number.

12839120 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 12839120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302464).

12839120 is an abundant number, since it is smaller than the sum of its proper divisors (21765808).

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

12839120 is a wasteful number, since it uses less digits than its factorization.

12839120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 12839120 is about 3583.1717793039. The cubic root of 12839120 is about 234.1594841384.

The spelling of 12839120 in words is "twelve million, eight hundred thirty-nine thousand, one hundred twenty".