128786112000 has 2160 divisors, whose sum is σ = 605937123792. Its totient is φ = 27172454400.

The previous prime is 128786111947. The next prime is 128786112017. The reversal of 128786112000 is 211687821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

128786112000 is a `hidden beast` number, since 12 + 8 + 7 + 8 + 611 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9906623994 + ... + 9906624006.

Almost surely, 2^128786112000 is an apocalyptic number.

128786112000 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 128786112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302968561896).

128786112000 is an abundant number, since it is smaller than the sum of its proper divisors (477151011792).

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

128786112000 is an frugal number, since it uses more digits than its factorization.

128786112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 128786112000 its reverse (211687821), we get a palindrome (128997799821).

The spelling of 128786112000 in words is "one hundred twenty-eight billion, seven hundred eighty-six million, one hundred twelve thousand".