212349312 has 192 divisors, whose sum is σ = 739908000. Its totient is φ = 57065472.

The previous prime is 212349307. The next prime is 212349341. The reversal of 212349312 is 213943212.

It is a happy number.

212349312 is a `hidden beast` number, since 2 + 1 + 2 + 349 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136314 + ... + 137862.

Almost surely, 2^212349312 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 212349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369954000).

212349312 is an abundant number, since it is smaller than the sum of its proper divisors (527558688).

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

212349312 is a wasteful number, since it uses less digits than its factorization.

212349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1578 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 212349312 is about 14572.2102647471. The cubic root of 212349312 is about 596.6005088090.

The spelling of 212349312 in words is "two hundred twelve million, three hundred forty-nine thousand, three hundred twelve".