128197601925120 has 4032 divisors, whose sum is σ = 603892262151360. Its totient is φ = 25418224631808.

The previous prime is 128197601925089. The next prime is 128197601925121. The reversal of 128197601925120 is 21529106791821.

128197601925120 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 9 + 7 + 601 + 9 + 2 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×128197601925120² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128197601925121) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 196320982714 + ... + 196320983366.

It is an arithmetic number, because the mean of its divisors is an integer number (149774866605).

Almost surely, 2^{128197601925120} is an apocalyptic number.

128197601925120 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 128197601925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301946131075680).

128197601925120 is an abundant number, since it is smaller than the sum of its proper divisors (475694660226240).

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

128197601925120 is an equidigital number, since it uses as much as digits as its factorization.

128197601925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 128197601925120 in words is "one hundred twenty-eight trillion, one hundred ninety-seven billion, six hundred one million, nine hundred twenty-five thousand, one hundred twenty".