128001226752 has 384 divisors, whose sum is σ = 435042316800. Its totient is φ = 36428120064.

The previous prime is 128001226751. The next prime is 128001226783. The reversal of 128001226752 is 257622100821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128001226751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134313508 + ... + 134314460.

It is an arithmetic number, because the mean of its divisors is an integer number (1132922700).

Almost surely, 2^128001226752 is an apocalyptic number.

128001226752 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 128001226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217521158400).

128001226752 is an abundant number, since it is smaller than the sum of its proper divisors (307041090048).

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

128001226752 is an equidigital number, since it uses as much as digits as its factorization.

128001226752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1312 counting only the distinct ones).

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

The spelling of 128001226752 in words is "one hundred twenty-eight billion, one million, two hundred twenty-six thousand, seven hundred fifty-two".