12728127227904 has 480 divisors, whose sum is σ = 42595287134400. Its totient is φ = 3752744878080.

The previous prime is 12728127227873. The next prime is 12728127227923. The reversal of 12728127227904 is 40972272182721.

12728127227904 is a `hidden beast` number, since 1 + 2 + 7 + 281 + 272 + 2 + 7 + 90 + 4 = 666.

It is a super-2 number, since 2×12728127227904² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67422157 + ... + 67610675.

It is an arithmetic number, because the mean of its divisors is an integer number (88740181530).

Almost surely, 2^{12728127227904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12728127227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21297643567200).

12728127227904 is an abundant number, since it is smaller than the sum of its proper divisors (29867159906496).

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

12728127227904 is a wasteful number, since it uses less digits than its factorization.

12728127227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188601 (or 188572 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 12728127227904 in words is "twelve trillion, seven hundred twenty-eight billion, one hundred twenty-seven million, two hundred twenty-seven thousand, nine hundred four".