128071200 has 288 divisors, whose sum is σ = 457845696. Its totient is φ = 30965760.

The previous prime is 128071129. The next prime is 128071201. The reversal of 128071200 is 2170821.

It is not an unprimeable number, because it can be changed into a prime (128071201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754364 + ... + 1754436.

It is an arithmetic number, because the mean of its divisors is an integer number (1589742).

Almost surely, 2^128071200 is an apocalyptic number.

128071200 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 128071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228922848).

128071200 is an abundant number, since it is smaller than the sum of its proper divisors (329774496).

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

128071200 is a wasteful number, since it uses less digits than its factorization.

128071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 128071200 is about 11316.8546867051. The cubic root of 128071200 is about 504.0618467817.

It can be divided in two parts, 128071 and 200, that added together give a triangular number (128271 = T₅₀₆).

The spelling of 128071200 in words is "one hundred twenty-eight million, seventy-one thousand, two hundred".