321404213143112 has 192 divisors, whose sum is σ = 681103993535280. Its totient is φ = 141994524672000.

The previous prime is 321404213143109. The next prime is 321404213143187. The reversal of 321404213143112 is 211341312404123.

It can be written as a sum of positive squares in 8 ways, for example, as 4473284220196 + 316930928922916 = 2115014^2 + 17802554^2 .

It is a super-2 number, since 2×321404213143112² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25850891648 + ... + 25850904080.

Almost surely, 2^{321404213143112} 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 321404213143112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340551996767640).

321404213143112 is an abundant number, since it is smaller than the sum of its proper divisors (359699780392168).

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

321404213143112 is a wasteful number, since it uses less digits than its factorization.

321404213143112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14896 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 321404213143112 its reverse (211341312404123), we get a palindrome (532745525547235).

The spelling of 321404213143112 in words is "three hundred twenty-one trillion, four hundred four billion, two hundred thirteen million, one hundred forty-three thousand, one hundred twelve".