212104512 has 84 divisors (see below), whose sum is σ = 643751316. Its totient is φ = 66539520.

The previous prime is 212104499. The next prime is 212104531. The reversal of 212104512 is 215401212.

212104512 is a `hidden beast` number, since 2 + 1 + 210 + 451 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117158976 + 94945536 = 10824^2 + 9744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039 + ... + 20622.

Almost surely, 2^212104512 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 212104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321875658).

212104512 is an abundant number, since it is smaller than the sum of its proper divisors (431646804).

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

212104512 is a wasteful number, since it uses less digits than its factorization.

212104512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21696 (or 21683 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212104512 is about 14563.8082931629. The cubic root of 212104512 is about 596.3711634891.

Adding to 212104512 its reverse (215401212), we get a palindrome (427505724).

The spelling of 212104512 in words is "two hundred twelve million, one hundred four thousand, five hundred twelve".