321213240400 has 120 divisors (see below), whose sum is σ = 833788724384. Its totient is φ = 118214899200.

The previous prime is 321213240391. The next prime is 321213240401. The reversal of 321213240400 is 4042312123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321213240401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495795 + ... + 1697005.

Almost surely, 2^321213240400 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 321213240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416894362192).

321213240400 is an abundant number, since it is smaller than the sum of its proper divisors (512575483984).

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

321213240400 is a wasteful number, since it uses less digits than its factorization.

321213240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201549 (or 201538 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 321213240400 its reverse (4042312123), we get a palindrome (325255552523).

The spelling of 321213240400 in words is "three hundred twenty-one billion, two hundred thirteen million, two hundred forty thousand, four hundred".