128070720000 has 900 divisors, whose sum is σ = 487480882746. Its totient is φ = 33592320000.

The previous prime is 128070719951. The next prime is 128070720053. The reversal of 128070720000 is 27070821.

It can be written as a sum of positive squares in 5 ways, for example, as 4718041344 + 123352678656 = 68688^2 + 351216^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2099519970 + ... + 2099520030.

Almost surely, 2^128070720000 is an apocalyptic number.

128070720000 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 128070720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243740441373).

128070720000 is an abundant number, since it is smaller than the sum of its proper divisors (359410162746).

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

128070720000 is an frugal number, since it uses more digits than its factorization.

128070720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 128070720000 its reverse (27070821), we get a palindrome (128097790821).

The spelling of 128070720000 in words is "one hundred twenty-eight billion, seventy million, seven hundred twenty thousand".