212512375728 has 240 divisors, whose sum is σ = 639333785376. Its totient is φ = 65660313600.

The previous prime is 212512375721. The next prime is 212512375729. The reversal of 212512375728 is 827573215212.

It is a happy number.

212512375728 is a `hidden beast` number, since 2 + 1 + 2 + 51 + 23 + 7 + 572 + 8 = 666.

212512375728 is digitally balanced in base 2, 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 (212512375721) 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 47 ways as a sum of consecutive naturals, for example, 48705675 + ... + 48710037.

Almost surely, 2^212512375728 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 212512375728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319666892688).

212512375728 is an abundant number, since it is smaller than the sum of its proper divisors (426821409648).

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

212512375728 is a wasteful number, since it uses less digits than its factorization.

212512375728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4683 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 212512375728 in words is "two hundred twelve billion, five hundred twelve million, three hundred seventy-five thousand, seven hundred twenty-eight".