321223221213400 has 144 divisors (see below), whose sum is σ = 822016068073200. Its totient is φ = 116651225644800.

The previous prime is 321223221213319. The next prime is 321223221213581. The reversal of 321223221213400 is 4312122322123.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9048106 + ... + 26913094.

It is an arithmetic number, because the mean of its divisors is an integer number (5708444917175).

Almost surely, 2^{321223221213400} 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 321223221213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411008034036600).

321223221213400 is an abundant number, since it is smaller than the sum of its proper divisors (500792846859800).

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

321223221213400 is a wasteful number, since it uses less digits than its factorization.

321223221213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17865770 (or 17865750 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 321223221213400 its reverse (4312122322123), we get a palindrome (325535343535523).

The spelling of 321223221213400 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, two hundred twenty-one million, two hundred thirteen thousand, four hundred".