128102400000 has 576 divisors, whose sum is σ = 465883072200. Its totient is φ = 33914880000.

The previous prime is 128102399959. The next prime is 128102400011. The reversal of 128102400000 is 4201821.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 921599931 + ... + 921600069.

Almost surely, 2^128102400000 is an apocalyptic number.

128102400000 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 128102400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232941536100).

128102400000 is an abundant number, since it is smaller than the sum of its proper divisors (337780672200).

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

128102400000 is an frugal number, since it uses more digits than its factorization.

128102400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 128102400000 its reverse (4201821), we get a palindrome (128106601821).

The spelling of 128102400000 in words is "one hundred twenty-eight billion, one hundred two million, four hundred thousand".