128212906752 has 360 divisors, whose sum is σ = 448750601376. Its totient is φ = 35640705024.

The previous prime is 128212906729. The next prime is 128212906841. The reversal of 128212906752 is 257609212821.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 128212906698 and 128212906707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5358688 + ... + 5382560.

Almost surely, 2^128212906752 is an apocalyptic number.

128212906752 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 128212906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224375300688).

128212906752 is an abundant number, since it is smaller than the sum of its proper divisors (320537694624).

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

128212906752 is an equidigital number, since it uses as much as digits as its factorization.

128212906752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23945 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 128212906752 in words is "one hundred twenty-eight billion, two hundred twelve million, nine hundred six thousand, seven hundred fifty-two".