321200133131200 has 336 divisors, whose sum is σ = 847893140115840. Its totient is φ = 119386814976000.

The previous prime is 321200133131197. The next prime is 321200133131239. The reversal of 321200133131200 is 2131331002123.

It is a congruent number.

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, 5946912195 + ... + 5946966205.

It is an arithmetic number, because the mean of its divisors is an integer number (2523491488440).

Almost surely, 2^{321200133131200} 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 321200133131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423946570057920).

321200133131200 is an abundant number, since it is smaller than the sum of its proper divisors (526693006984640).

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

321200133131200 is a wasteful number, since it uses less digits than its factorization.

321200133131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57796 (or 57781 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 321200133131200 its reverse (2131331002123), we get a palindrome (323331464133323).

The spelling of 321200133131200 in words is "three hundred twenty-one trillion, two hundred billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred".