321140313103200 has 72 divisors (see below), whose sum is σ = 1045311719158728. Its totient is φ = 85637416826880.

The previous prime is 321140313103171. The next prime is 321140313103201. The reversal of 321140313103200 is 2301313041123.

It is a super-3 number, since 3×321140313103200³ (a number of 44 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321140313103201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66904229497 + ... + 66904234296.

It is an arithmetic number, because the mean of its divisors is an integer number (14518218321649).

Almost surely, 2^{321140313103200} is an apocalyptic number.

321140313103200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321140313103200 is an abundant number, since it is smaller than the sum of its proper divisors (724171406055528).

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

321140313103200 is a wasteful number, since it uses less digits than its factorization.

321140313103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133808463816 (or 133808463803 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 321140313103200 its reverse (2301313041123), we get a palindrome (323441626144323).

The spelling of 321140313103200 in words is "three hundred twenty-one trillion, one hundred forty billion, three hundred thirteen million, one hundred three thousand, two hundred".