128120096 has 48 divisors (see below), whose sum is σ = 273829248. Its totient is φ = 58656000.

The previous prime is 128120077. The next prime is 128120101. The reversal of 128120096 is 690021821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53321 + ... + 55671.

It is an arithmetic number, because the mean of its divisors is an integer number (5704776).

Almost surely, 2^128120096 is an apocalyptic number.

128120096 is a gapful number since it is divisible by the number (16) 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 128120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136914624).

128120096 is an abundant number, since it is smaller than the sum of its proper divisors (145709152).

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

128120096 is a wasteful number, since it uses less digits than its factorization.

128120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 128120096 is about 11319.0147981174. The cubic root of 128120096 is about 504.1259868125.

The spelling of 128120096 in words is "one hundred twenty-eight million, one hundred twenty thousand, ninety-six".