321214312172272 has 80 divisors (see below), whose sum is σ = 654231694616640. Its totient is φ = 152484259659776.

The previous prime is 321214312172269. The next prime is 321214312172279. The reversal of 321214312172272 is 272271213412123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321214312172279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416706504 + ... + 417476632.

It is an arithmetic number, because the mean of its divisors is an integer number (8177896182708).

Almost surely, 2^{321214312172272} 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 321214312172272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327115847308320).

321214312172272 is an abundant number, since it is smaller than the sum of its proper divisors (333017382444368).

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

321214312172272 is a wasteful number, since it uses less digits than its factorization.

321214312172272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778570 (or 778564 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

Adding to 321214312172272 its reverse (272271213412123), we get a palindrome (593485525584395).

The spelling of 321214312172272 in words is "three hundred twenty-one trillion, two hundred fourteen billion, three hundred twelve million, one hundred seventy-two thousand, two hundred seventy-two".