128321107200 has 1296 divisors, whose sum is σ = 559913704896. Its totient is φ = 28665446400.

The previous prime is 128321107199. The next prime is 128321107219. The reversal of 128321107200 is 2701123821.

128321107200 is a `hidden beast` number, since 128 + 321 + 10 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 222393312 + ... + 222393888.

Almost surely, 2^128321107200 is an apocalyptic number.

128321107200 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 128321107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279956852448).

128321107200 is an abundant number, since it is smaller than the sum of its proper divisors (431592597696).

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

128321107200 is a wasteful number, since it uses less digits than its factorization.

128321107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 128321107200 in words is "one hundred twenty-eight billion, three hundred twenty-one million, one hundred seven thousand, two hundred".