212114304 has 96 divisors (see below), whose sum is σ = 646345440. Its totient is φ = 66539520.

The previous prime is 212114293. The next prime is 212114317. The reversal of 212114304 is 403411212.

212114304 is a `hidden beast` number, since 21 + 211 + 430 + 4 = 666.

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

It is a super-2 number, since 2×212114304² = 89984955922808832, which contains 22 as substring.

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, 14169 + ... + 24999.

It is an arithmetic number, because the mean of its divisors is an integer number (6732765).

Almost surely, 2^212114304 is an apocalyptic number.

212114304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323172720).

212114304 is an abundant number, since it is smaller than the sum of its proper divisors (434231136).

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

212114304 is a wasteful number, since it uses less digits than its factorization.

212114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10868 (or 10853 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212114304 is about 14564.1444650896. The cubic root of 212114304 is about 596.3803406891.

Adding to 212114304 its reverse (403411212), we get a palindrome (615525516).

The spelling of 212114304 in words is "two hundred twelve million, one hundred fourteen thousand, three hundred four".