212441301310321 has 8 divisors (see below), whose sum is σ = 219772717353000. Its totient is φ = 205110275529600.

The previous prime is 212441301310309. The next prime is 212441301310367. The reversal of 212441301310321 is 123013103144212.

212441301310321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37000017879696 + 175441283430625 = 6082764^2 + 13245425^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212441301310321 - 2⁵ = 212441301310289 is a prime.

It is a super-2 number, since 2×212441301310321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212441301310321.

It is not an unprimeable number, because it can be changed into a prime (212441301310421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96457780 + ... + 98635621.

It is an arithmetic number, because the mean of its divisors is an integer number (27471589669125).

Almost surely, 2^{212441301310321} is an apocalyptic number.

It is an amenable number.

212441301310321 is a deficient number, since it is larger than the sum of its proper divisors (7331416042679).

212441301310321 is a wasteful number, since it uses less digits than its factorization.

212441301310321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195130979.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 212441301310321 its reverse (123013103144212), we get a palindrome (335454404454533).

The spelling of 212441301310321 in words is "two hundred twelve trillion, four hundred forty-one billion, three hundred one million, three hundred ten thousand, three hundred twenty-one".