12128844420 has 288 divisors, whose sum is σ = 47569406976. Its totient is φ = 2520201600.

The previous prime is 12128844419. The next prime is 12128844473. The reversal of 12128844420 is 2444882121.

It is a happy number.

12128844420 is a `hidden beast` number, since 12 + 128 + 84 + 442 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358015 + ... + 390425.

It is an arithmetic number, because the mean of its divisors is an integer number (165171552).

Almost surely, 2^12128844420 is an apocalyptic number.

12128844420 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 12128844420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23784703488).

12128844420 is an abundant number, since it is smaller than the sum of its proper divisors (35440562556).

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

12128844420 is a wasteful number, since it uses less digits than its factorization.

12128844420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32453 (or 32439 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 12128844420 in words is "twelve billion, one hundred twenty-eight million, eight hundred forty-four thousand, four hundred twenty".