12128438665200 has 960 divisors, whose sum is σ = 48021630418944. Its totient is φ = 2576240640000.

The previous prime is 12128438665181. The next prime is 12128438665201. The reversal of 12128438665200 is 256683482121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12128438665200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12128438665201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 260293905 + ... + 260340495.

Almost surely, 2^{12128438665200} is an apocalyptic number.

12128438665200 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 12128438665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24010815209472).

12128438665200 is an abundant number, since it is smaller than the sum of its proper divisors (35893191753744).

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

12128438665200 is a wasteful number, since it uses less digits than its factorization.

12128438665200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46714 (or 46703 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 12128438665200 in words is "twelve trillion, one hundred twenty-eight billion, four hundred thirty-eight million, six hundred sixty-five thousand, two hundred".