128541009312 has 144 divisors (see below), whose sum is σ = 370854174600. Its totient is φ = 42224910336.

The previous prime is 128541009307. The next prime is 128541009319. The reversal of 128541009312 is 213900145821.

128541009312 is a `hidden beast` number, since 1 + 28 + 541 + 0 + 0 + 93 + 1 + 2 = 666.

128541009312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 124408576656 + 4132432656 = 352716^2 + 64284^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128541009319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40974208 + ... + 40977344.

Almost surely, 2^128541009312 is an apocalyptic number.

128541009312 is a gapful number since it is divisible by the number (12) 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 128541009312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185427087300).

128541009312 is an abundant number, since it is smaller than the sum of its proper divisors (242313165288).

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

128541009312 is a wasteful number, since it uses less digits than its factorization.

128541009312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 128541009312 in words is "one hundred twenty-eight billion, five hundred forty-one million, nine thousand, three hundred twelve".