212560128 has 108 divisors (see below), whose sum is σ = 668657808. Its totient is φ = 64404480.

The previous prime is 212560121. The next prime is 212560141. The reversal of 212560128 is 821065212.

It is a happy number.

212560128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212560121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21151 + ... + 29537.

It is an arithmetic number, because the mean of its divisors is an integer number (6191276).

Almost surely, 2^212560128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212560128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334328904).

212560128 is an abundant number, since it is smaller than the sum of its proper divisors (456097680).

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

212560128 is a wasteful number, since it uses less digits than its factorization.

212560128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 212560128 is about 14579.4419646295. The cubic root of 212560128 is about 596.7978743872.

The spelling of 212560128 in words is "two hundred twelve million, five hundred sixty thousand, one hundred twenty-eight".