127204872703128 has 192 divisors, whose sum is σ = 385013647418400. Its totient is φ = 37605353472000.

The previous prime is 127204872703061. The next prime is 127204872703199. The reversal of 127204872703128 is 821307278402721.

127204872703128 is a `hidden beast` number, since 1 + 2 + 72 + 0 + 487 + 2 + 70 + 3 + 1 + 28 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1139354188 + ... + 1139465828.

Almost surely, 2^{127204872703128} is an apocalyptic number.

127204872703128 is a gapful number since it is divisible by the number (18) 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 127204872703128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192506823709200).

127204872703128 is an abundant number, since it is smaller than the sum of its proper divisors (257808774715272).

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

127204872703128 is a wasteful number, since it uses less digits than its factorization.

127204872703128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146794 (or 146787 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 127204872703128 in words is "one hundred twenty-seven trillion, two hundred four billion, eight hundred seventy-two million, seven hundred three thousand, one hundred twenty-eight".