212406912 has 96 divisors (see below), whose sum is σ = 624386880. Its totient is φ = 69278208.

The previous prime is 212406907. The next prime is 212406913. The reversal of 212406912 is 219604212.

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

It is not an unprimeable number, because it can be changed into a prime (212406913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52183 + ... + 56105.

It is an arithmetic number, because the mean of its divisors is an integer number (6504030).

Almost surely, 2^212406912 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 212406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312193440).

212406912 is an abundant number, since it is smaller than the sum of its proper divisors (411979968).

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

212406912 is a wasteful number, since it uses less digits than its factorization.

212406912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 212406912 is about 14574.1864953074. The cubic root of 212406912 is about 596.6544467950.

The spelling of 212406912 in words is "two hundred twelve million, four hundred six thousand, nine hundred twelve".