321113221200 has 360 divisors, whose sum is σ = 1164062959488. Its totient is φ = 81818373120.

The previous prime is 321113221199. The next prime is 321113221249. The reversal of 321113221200 is 2122311123.

321113221200 is a `hidden beast` number, since 32 + 111 + 322 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×321113221200³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113186182 + ... + 113189018.

Almost surely, 2^321113221200 is an apocalyptic number.

321113221200 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 321113221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582031479744).

321113221200 is an abundant number, since it is smaller than the sum of its proper divisors (842949738288).

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

321113221200 is a wasteful number, since it uses less digits than its factorization.

321113221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321113221200 its reverse (2122311123), we get a palindrome (323235532323).

The spelling of 321113221200 in words is "three hundred twenty-one billion, one hundred thirteen million, two hundred twenty-one thousand, two hundred".