128221056000000 has 1960 divisors, whose sum is σ = 487835978275800. Its totient is φ = 33553612800000.

The previous prime is 128221055999999. The next prime is 128221056000047. The reversal of 128221056000000 is 650122821.

It is a happy number.

128221056000000 is a `hidden beast` number, since 1 + 2 + 82 + 21 + 0 + 560 + 0 + 0 + 0 + 0 + 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 139 ways as a sum of consecutive naturals, for example, 860543999926 + ... + 860544000074.

Almost surely, 2^{128221056000000} is an apocalyptic number.

128221056000000 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 128221056000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243917989137900).

128221056000000 is an abundant number, since it is smaller than the sum of its proper divisors (359614922275800).

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

128221056000000 is an frugal number, since it uses more digits than its factorization.

128221056000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 128221056000000 in words is "one hundred twenty-eight trillion, two hundred twenty-one billion, fifty-six million", and thus it is an aban number.