212009905872 has 160 divisors (see below), whose sum is σ = 630733241600. Its totient is φ = 68128584192.

The previous prime is 212009905871. The next prime is 212009905883. The reversal of 212009905872 is 278509900212.

It is a happy number.

212009905872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212009905871) 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, 1681413 + ... + 1803099.

It is an arithmetic number, because the mean of its divisors is an integer number (3942082760).

Almost surely, 2^212009905872 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 212009905872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315366620800).

212009905872 is an abundant number, since it is smaller than the sum of its proper divisors (418723335728).

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

212009905872 is a wasteful number, since it uses less digits than its factorization.

212009905872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121850 (or 121838 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 212009905872 in words is "two hundred twelve billion, nine million, nine hundred five thousand, eight hundred seventy-two".