128254103712 has 432 divisors, whose sum is σ = 445467859200. Its totient is φ = 34853898240.

The previous prime is 128254103689. The next prime is 128254103713. The reversal of 128254103712 is 217301452821.

128254103712 is a `hidden beast` number, since 1 + 2 + 82 + 541 + 0 + 37 + 1 + 2 = 666.

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 (128254103713) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25808364 + ... + 25813332.

It is an arithmetic number, because the mean of its divisors is an integer number (1031175600).

Almost surely, 2^128254103712 is an apocalyptic number.

128254103712 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 128254103712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222733929600).

128254103712 is an abundant number, since it is smaller than the sum of its proper divisors (317213755488).

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

128254103712 is a wasteful number, since it uses less digits than its factorization.

128254103712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 128254103712 in words is "one hundred twenty-eight billion, two hundred fifty-four million, one hundred three thousand, seven hundred twelve".