128058247200 has 432 divisors, whose sum is σ = 463949555328. Its totient is φ = 30498048000.

The previous prime is 128058247189. The next prime is 128058247223. The reversal of 128058247200 is 2742850821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29981065 + ... + 29985335.

It is an arithmetic number, because the mean of its divisors is an integer number (1073957304).

Almost surely, 2^128058247200 is an apocalyptic number.

128058247200 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 128058247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231974777664).

128058247200 is an abundant number, since it is smaller than the sum of its proper divisors (335891308128).

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

128058247200 is a wasteful number, since it uses less digits than its factorization.

128058247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 128058247200 in words is "one hundred twenty-eight billion, fifty-eight million, two hundred forty-seven thousand, two hundred".