128223216000 has 1024 divisors, whose sum is σ = 521811763200. Its totient is φ = 30945024000.

The previous prime is 128223215917. The next prime is 128223216041. The reversal of 128223216000 is 612322821.

128223216000 is a `hidden beast` number, since 1 + 2 + 8 + 22 + 32 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 574991889 + ... + 574992111.

It is an arithmetic number, because the mean of its divisors is an integer number (509581800).

Almost surely, 2^128223216000 is an apocalyptic number.

128223216000 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 128223216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260905881600).

128223216000 is an abundant number, since it is smaller than the sum of its proper divisors (393588547200).

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

128223216000 is an equidigital number, since it uses as much as digits as its factorization.

128223216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 128223216000 its reverse (612322821), we get a palindrome (128835538821).

The spelling of 128223216000 in words is "one hundred twenty-eight billion, two hundred twenty-three million, two hundred sixteen thousand".