321213203224340 has 192 divisors, whose sum is σ = 775433334509568. Its totient is φ = 109486619827200.

The previous prime is 321213203224337. The next prime is 321213203224349. The reversal of 321213203224340 is 43422302312123.

It is a super-2 number, since 2×321213203224340² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321213203224297 and 321213203224306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321213203224349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25923099545 + ... + 25923111935.

It is an arithmetic number, because the mean of its divisors is an integer number (4038715283904).

Almost surely, 2^{321213203224340} 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 321213203224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387716667254784).

321213203224340 is an abundant number, since it is smaller than the sum of its proper divisors (454220131285228).

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

321213203224340 is a wasteful number, since it uses less digits than its factorization.

321213203224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14278 (or 14276 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 321213203224340 its reverse (43422302312123), we get a palindrome (364635505536463).

The spelling of 321213203224340 in words is "three hundred twenty-one trillion, two hundred thirteen billion, two hundred three million, two hundred twenty-four thousand, three hundred forty".