212008575312 has 640 divisors, whose sum is σ = 684470476800. Its totient is φ = 62589542400.

The previous prime is 212008575281. The next prime is 212008575319. The reversal of 212008575312 is 213575800212.

212008575312 is a `hidden beast` number, since 21 + 20 + 0 + 85 + 7 + 531 + 2 = 666.

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 (212008575319) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 879703512 + ... + 879703752.

It is an arithmetic number, because the mean of its divisors is an integer number (1069485120).

Almost surely, 2^212008575312 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 212008575312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342235238400).

212008575312 is an abundant number, since it is smaller than the sum of its proper divisors (472461901488).

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

212008575312 is a wasteful number, since it uses less digits than its factorization.

212008575312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 212008575312 in words is "two hundred twelve billion, eight million, five hundred seventy-five thousand, three hundred twelve".