128838941712 has 320 divisors, whose sum is σ = 415306752000. Its totient is φ = 37968279552.

The previous prime is 128838941701. The next prime is 128838941753. The reversal of 128838941712 is 217149838821.

128838941712 is a `hidden beast` number, since 12 + 88 + 389 + 4 + 171 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20680614 + ... + 20686842.

It is an arithmetic number, because the mean of its divisors is an integer number (1297833600).

Almost surely, 2^128838941712 is an apocalyptic number.

128838941712 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 128838941712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207653376000).

128838941712 is an abundant number, since it is smaller than the sum of its proper divisors (286467810288).

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

128838941712 is a wasteful number, since it uses less digits than its factorization.

128838941712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6403 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 128838941712 in words is "one hundred twenty-eight billion, eight hundred thirty-eight million, nine hundred forty-one thousand, seven hundred twelve".