128122880 has 136 divisors (see below), whose sum is σ = 339736032. Its totient is φ = 46137344.

The previous prime is 128122861. The next prime is 128122913. The reversal of 128122880 is 88221821.

It is a tau number, because it is divible by the number of its divisors (136).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5570549 + ... + 5570571.

Almost surely, 2^128122880 is an apocalyptic number.

128122880 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 128122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169868016).

128122880 is an abundant number, since it is smaller than the sum of its proper divisors (211613152).

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

128122880 is an frugal number, since it uses more digits than its factorization.

128122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 128122880 is about 11319.1377763503. The cubic root of 128122880 is about 504.1296382735.

The spelling of 128122880 in words is "one hundred twenty-eight million, one hundred twenty-two thousand, eight hundred eighty".