321142212144 has 180 divisors, whose sum is σ = 977010822216. Its totient is φ = 98426585088.

The previous prime is 321142212133. The next prime is 321142212187. The reversal of 321142212144 is 441212241123.

321142212144 is a `hidden beast` number, since 3 + 21 + 1 + 422 + 1 + 214 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 6228679 + ... + 6280025.

Almost surely, 2^321142212144 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 321142212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488505411108).

321142212144 is an abundant number, since it is smaller than the sum of its proper divisors (655868610072).

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

321142212144 is a wasteful number, since it uses less digits than its factorization.

321142212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51644 (or 51622 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 321142212144 its reverse (441212241123), we get a palindrome (762354453267).

The spelling of 321142212144 in words is "three hundred twenty-one billion, one hundred forty-two million, two hundred twelve thousand, one hundred forty-four".