128222488800 has 432 divisors, whose sum is σ = 517792609152. Its totient is φ = 29248128000.

The previous prime is 128222488781. The next prime is 128222488843. The reversal of 128222488800 is 8884222821.

128222488800 is a `hidden beast` number, since 12 + 82 + 2 + 2 + 488 + 80 + 0 = 666.

It is a super-2 number, since 2×128222488800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27566475 + ... + 27571125.

Almost surely, 2^128222488800 is an apocalyptic number.

128222488800 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 128222488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258896304576).

128222488800 is an abundant number, since it is smaller than the sum of its proper divisors (389570120352).

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

128222488800 is a wasteful number, since it uses less digits than its factorization.

128222488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 128222488800 in words is "one hundred twenty-eight billion, two hundred twenty-two million, four hundred eighty-eight thousand, eight hundred".