128889205212672 has 240 divisors, whose sum is σ = 386680945210560. Its totient is φ = 42860513912832.

The previous prime is 128889205212671. The next prime is 128889205212709. The reversal of 128889205212672 is 276212502988821.

128889205212672 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 89 + 2 + 0 + 521 + 26 + 7 + 2 = 666.

It is a super-2 number, since 2×128889205212672² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128889205212671) 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, 50894083 + ... + 53366525.

It is an arithmetic number, because the mean of its divisors is an integer number (1611170605044).

Almost surely, 2^{128889205212672} is an apocalyptic number.

128889205212672 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 128889205212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193340472605280).

128889205212672 is an abundant number, since it is smaller than the sum of its proper divisors (257791739997888).

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

128889205212672 is an frugal number, since it uses more digits than its factorization.

128889205212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472895 (or 2472867 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 128889205212672 in words is "one hundred twenty-eight trillion, eight hundred eighty-nine billion, two hundred five million, two hundred twelve thousand, six hundred seventy-two".