20312121144321 has 32 divisors (see below), whose sum is σ = 31688457504000. Its totient is φ = 12833825203584.

The previous prime is 20312121144283. The next prime is 20312121144347. The reversal of 20312121144321 is 12344112121302.

20312121144321 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 2 + 1 + 211 + 443 + 2 + 1 = 666.

It is not a de Polignac number, because 20312121144321 - 2¹¹ = 20312121142273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20312121144521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149972356 + ... + 150107733.

It is an arithmetic number, because the mean of its divisors is an integer number (990264297000).

Almost surely, 2^{20312121144321} is an apocalyptic number.

It is an amenable number.

20312121144321 is a deficient number, since it is larger than the sum of its proper divisors (11376336359679).

20312121144321 is a wasteful number, since it uses less digits than its factorization.

20312121144321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300080230 (or 300080224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20312121144321 its reverse (12344112121302), we get a palindrome (32656233265623).

The spelling of 20312121144321 in words is "twenty trillion, three hundred twelve billion, one hundred twenty-one million, one hundred forty-four thousand, three hundred twenty-one".