12084128528920 has 256 divisors, whose sum is σ = 33047048217600. Its totient is φ = 3884528793600.

The previous prime is 12084128528911. The next prime is 12084128528959. The reversal of 12084128528920 is 2982582148021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2040201079 + ... + 2040207001.

It is an arithmetic number, because the mean of its divisors is an integer number (129090032100).

Almost surely, 2^{12084128528920} is an apocalyptic number.

12084128528920 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 12084128528920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523524108800).

12084128528920 is an abundant number, since it is smaller than the sum of its proper divisors (20962919688680).

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

12084128528920 is a wasteful number, since it uses less digits than its factorization.

12084128528920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 52.

The spelling of 12084128528920 in words is "twelve trillion, eighty-four billion, one hundred twenty-eight million, five hundred twenty-eight thousand, nine hundred twenty".