12840069120 has 192 divisors, whose sum is σ = 41956911360. Its totient is φ = 3350790144.

The previous prime is 12840069119. The next prime is 12840069133. The reversal of 12840069120 is 2196004821.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1439394 + ... + 1448286.

It is an arithmetic number, because the mean of its divisors is an integer number (218525580).

Almost surely, 2^12840069120 is an apocalyptic number.

12840069120 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 12840069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20978455680).

12840069120 is an abundant number, since it is smaller than the sum of its proper divisors (29116842240).

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

12840069120 is an equidigital number, since it uses as much as digits as its factorization.

12840069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8970 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 12840069120 in words is "twelve billion, eight hundred forty million, sixty-nine thousand, one hundred twenty".