212011008 has 96 divisors (see below), whose sum is σ = 616805280. Its totient is φ = 64225280.

The previous prime is 212010989. The next prime is 212011043. The reversal of 212011008 is 800110212.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66016 + ... + 69152.

It is an arithmetic number, because the mean of its divisors is an integer number (6425055).

Almost surely, 2^212011008 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 212011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308402640).

212011008 is an abundant number, since it is smaller than the sum of its proper divisors (404794272).

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

212011008 is a wasteful number, since it uses less digits than its factorization.

212011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 212011008 is about 14560.5977899261. The cubic root of 212011008 is about 596.2835159972.

The spelling of 212011008 in words is "two hundred twelve million, eleven thousand, eight".