128128785120 has 768 divisors, whose sum is σ = 555990220800. Its totient is φ = 26887127040.

The previous prime is 128128785019. The next prime is 128128785121. The reversal of 128128785120 is 21587821821.

128128785120 is a `hidden beast` number, since 1 + 2 + 8 + 128 + 7 + 8 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128128785121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 21074241 + ... + 21080319.

It is an arithmetic number, because the mean of its divisors is an integer number (723945600).

Almost surely, 2^128128785120 is an apocalyptic number.

128128785120 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 128128785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277995110400).

128128785120 is an abundant number, since it is smaller than the sum of its proper divisors (427861435680).

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

128128785120 is a wasteful number, since it uses less digits than its factorization.

128128785120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 128128785120 in words is "one hundred twenty-eight billion, one hundred twenty-eight million, seven hundred eighty-five thousand, one hundred twenty".