128256791120 has 120 divisors (see below), whose sum is σ = 309659414904. Its totient is φ = 49397465088.

The previous prime is 128256791107. The next prime is 128256791141. The reversal of 128256791120 is 21197652821.

It can be written as a sum of positive squares in 12 ways, for example, as 15573043264 + 112683747856 = 124792^2 + 335684^2 .

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 23 ways as a sum of consecutive naturals, for example, 10617404 + ... + 10629476.

Almost surely, 2^128256791120 is an apocalyptic number.

128256791120 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 128256791120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154829707452).

128256791120 is an abundant number, since it is smaller than the sum of its proper divisors (181402623784).

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

128256791120 is a wasteful number, since it uses less digits than its factorization.

128256791120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12257 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 128256791120 in words is "one hundred twenty-eight billion, two hundred fifty-six million, seven hundred ninety-one thousand, one hundred twenty".