128211181824 has 216 divisors, whose sum is σ = 376014812320. Its totient is φ = 38754017280.

The previous prime is 128211181801. The next prime is 128211181837. The reversal of 128211181824 is 428181112821.

It is a nude number because it is divisible by every one of its digits.

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, 42466587 + ... + 42469605.

Almost surely, 2^128211181824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128211181824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188007406160).

128211181824 is an abundant number, since it is smaller than the sum of its proper divisors (247803630496).

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

128211181824 is a wasteful number, since it uses less digits than its factorization.

128211181824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3492 counting only the distinct ones).

The product of its digits is 16384, while the sum is 39.

The spelling of 128211181824 in words is "one hundred twenty-eight billion, two hundred eleven million, one hundred eighty-one thousand, eight hundred twenty-four".