128012000280 has 256 divisors, whose sum is σ = 401568192000. Its totient is φ = 32622600192.

The previous prime is 128012000279. The next prime is 128012000317. The reversal of 128012000280 is 82000210821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 128012000280.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 42400611 + ... + 42403629.

It is an arithmetic number, because the mean of its divisors is an integer number (1568625750).

Almost surely, 2^128012000280 is an apocalyptic number.

128012000280 is a gapful number since it is divisible by the number (10) 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 128012000280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200784096000).

128012000280 is an abundant number, since it is smaller than the sum of its proper divisors (273556191720).

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

128012000280 is a wasteful number, since it uses less digits than its factorization.

128012000280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 128012000280 in words is "one hundred twenty-eight billion, twelve million, two hundred eighty", and thus it is an aban number.