12128743628352 has 448 divisors, whose sum is σ = 40460651616000. Its totient is φ = 3531953258496.

The previous prime is 12128743628347. The next prime is 12128743628357. The reversal of 12128743628352 is 25382634782121.

12128743628352 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 8 + 7 + 4 + 3 + 628 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12128743628347) and next prime (12128743628357).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12128743628357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440887174 + ... + 440914682.

It is an arithmetic number, because the mean of its divisors is an integer number (90313954500).

Almost surely, 2^{12128743628352} is an apocalyptic number.

12128743628352 is a gapful number since it is divisible by the number (12) 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 12128743628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20230325808000).

12128743628352 is an abundant number, since it is smaller than the sum of its proper divisors (28331907987648).

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

12128743628352 is a wasteful number, since it uses less digits than its factorization.

12128743628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28595 (or 28579 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 12128743628352 in words is "twelve trillion, one hundred twenty-eight billion, seven hundred forty-three million, six hundred twenty-eight thousand, three hundred fifty-two".