128122560 has 140 divisors (see below), whose sum is σ = 455846688. Its totient is φ = 34159104.

The previous prime is 128122543. The next prime is 128122583. The reversal of 128122560 is 65221821.

It is a happy number.

128122560 is a `hidden beast` number, since 1 + 2 + 81 + 22 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23449 + ... + 28391.

Almost surely, 2^128122560 is an apocalyptic number.

128122560 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 128122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227923344).

128122560 is an abundant number, since it is smaller than the sum of its proper divisors (327724128).

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

128122560 is an equidigital number, since it uses as much as digits as its factorization.

128122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 128122560 is about 11319.1236409892. The cubic root of 128122560 is about 504.1292185680.

The spelling of 128122560 in words is "one hundred twenty-eight million, one hundred twenty-two thousand, five hundred sixty".