321132013200 has 720 divisors, whose sum is σ = 1196967722496. Its totient is φ = 79576473600.

The previous prime is 321132013193. The next prime is 321132013243. The reversal of 321132013200 is 2310231123.

321132013200 is a `hidden beast` number, since 3 + 21 + 1 + 320 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342723132 + ... + 342724068.

Almost surely, 2^321132013200 is an apocalyptic number.

321132013200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321132013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598483861248).

321132013200 is an abundant number, since it is smaller than the sum of its proper divisors (875835709296).

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

321132013200 is a wasteful number, since it uses less digits than its factorization.

321132013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321132013200 its reverse (2310231123), we get a palindrome (323442244323).

The spelling of 321132013200 in words is "three hundred twenty-one billion, one hundred thirty-two million, thirteen thousand, two hundred".