128101344000 has 1152 divisors, whose sum is σ = 522426777600. Its totient is φ = 27172454400.

The previous prime is 128101343987. The next prime is 128101344001. The reversal of 128101344000 is 443101821.

128101344000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (128101344001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1008671937 + ... + 1008672063.

Almost surely, 2^128101344000 is an apocalyptic number.

128101344000 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 128101344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261213388800).

128101344000 is an abundant number, since it is smaller than the sum of its proper divisors (394325433600).

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

128101344000 is a wasteful number, since it uses less digits than its factorization.

128101344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 128101344000 its reverse (443101821), we get a palindrome (128544445821).

The spelling of 128101344000 in words is "one hundred twenty-eight billion, one hundred one million, three hundred forty-four thousand".