205212312 has 128 divisors (see below), whose sum is σ = 619776000. Its totient is φ = 62674560.

The previous prime is 205212289. The next prime is 205212353. The reversal of 205212312 is 213212502.

It is a super-2 number, since 2×205212312² = 84224185992770688, 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126418 + ... + 128030.

It is an arithmetic number, because the mean of its divisors is an integer number (4842000).

Almost surely, 2^205212312 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 205212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309888000).

205212312 is an abundant number, since it is smaller than the sum of its proper divisors (414563688).

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

205212312 is a wasteful number, since it uses less digits than its factorization.

205212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205212312 is about 14325.2334012399. The cubic root of 205212312 is about 589.8403398299.

Adding to 205212312 its reverse (213212502), we get a palindrome (418424814).

The spelling of 205212312 in words is "two hundred five million, two hundred twelve thousand, three hundred twelve".