19971301120128 has 120 divisors (see below), whose sum is σ = 59435622750405. Its totient is φ = 6656948692992.

The previous prime is 19971301120123. The next prime is 19971301120171. The reversal of 19971301120128 is 82102110317991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

19971301120128 is a `hidden beast` number, since 19 + 97 + 1 + 301 + 120 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14583294540864 + 5388006579264 = 3818808^2 + 2321208^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3160008.

It is not an unprimeable number, because it can be changed into a prime (19971301120123) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 455019208 + ... + 455063096.

Almost surely, 2^{19971301120128} is an apocalyptic number.

19971301120128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19971301120128 is an abundant number, since it is smaller than the sum of its proper divisors (39464321630277).

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

19971301120128 is an frugal number, since it uses more digits than its factorization.

19971301120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87804 (or 43894 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 19971301120128 in words is "nineteen trillion, nine hundred seventy-one billion, three hundred one million, one hundred twenty thousand, one hundred twenty-eight".