321231400121 has 32 divisors (see below), whose sum is σ = 351308194848. Its totient is φ = 292493721600.

The previous prime is 321231400117. The next prime is 321231400123. The reversal of 321231400121 is 121004132123.

It can be written as a sum of positive squares in 16 ways, for example, as 22481703721 + 298749696400 = 149939^2 + 546580^2 .

It is a cyclic number.

It is not a de Polignac number, because 321231400121 - 2² = 321231400117 is a prime.

It is a super-3 number, since 3×321231400121³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321231400093 and 321231400102.

It is not an unprimeable number, because it can be changed into a prime (321231400123) 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, 168979271 + ... + 168981171.

It is an arithmetic number, because the mean of its divisors is an integer number (10978381089).

Almost surely, 2^321231400121 is an apocalyptic number.

It is an amenable number.

321231400121 is a deficient number, since it is larger than the sum of its proper divisors (30076794727).

321231400121 is a wasteful number, since it uses less digits than its factorization.

321231400121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 321231400121 its reverse (121004132123), we get a palindrome (442235532244).

The spelling of 321231400121 in words is "three hundred twenty-one billion, two hundred thirty-one million, four hundred thousand, one hundred twenty-one".