128122893360 has 960 divisors, whose sum is σ = 559068217344. Its totient is φ = 25517721600.

The previous prime is 128122893343. The next prime is 128122893407. The reversal of 128122893360 is 63398221821.

128122893360 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 2 + 289 + 3 + 360 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 218266987 + ... + 218267573.

Almost surely, 2^128122893360 is an apocalyptic number.

128122893360 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 128122893360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279534108672).

128122893360 is an abundant number, since it is smaller than the sum of its proper divisors (430945323984).

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

128122893360 is a wasteful number, since it uses less digits than its factorization.

128122893360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 128122893360 in words is "one hundred twenty-eight billion, one hundred twenty-two million, eight hundred ninety-three thousand, three hundred sixty".