212404711440321 has 27 divisors (see below), whose sum is σ = 320727725254209. Its totient is φ = 135445841396712.

The previous prime is 212404711440289. The next prime is 212404711440331. The reversal of 212404711440321 is 123044117404212.

The square root of 212404711440321 is 14574111.

It is a perfect power (a square), and thus also a powerful number.

212404711440321 is a `hidden beast` number, since 2 + 1 + 2 + 40 + 471 + 144 + 0 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 212404711440321 - 2⁵ = 212404711440289 is a prime.

It is a super-2 number, since 2×212404711440321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212404711440331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1005508050 + ... + 1005719268.

Almost surely, 2^{212404711440321} is an apocalyptic number.

212404711440321 is the 14574111-st square number.

212404711440321 is the 7287056-th centered octagonal number.

It is an amenable number.

212404711440321 is a deficient number, since it is larger than the sum of its proper divisors (108323013813888).

212404711440321 is an frugal number, since it uses more digits than its factorization.

212404711440321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422490 (or 211245 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 212404711440321 its reverse (123044117404212), we get a palindrome (335448828844533).

The spelling of 212404711440321 in words is "two hundred twelve trillion, four hundred four billion, seven hundred eleven million, four hundred forty thousand, three hundred twenty-one".