3012320221200 has 480 divisors, whose sum is σ = 11425868697600. Its totient is φ = 752008942080.

The previous prime is 3012320221151. The next prime is 3012320221237. The reversal of 3012320221200 is 21220232103.

3012320221200 is a `hidden beast` number, since 301 + 2 + 320 + 2 + 21 + 20 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11545791 + ... + 11803809.

It is an arithmetic number, because the mean of its divisors is an integer number (23803893120).

Almost surely, 2^{3012320221200} is an apocalyptic number.

3012320221200 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 3012320221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712934348800).

3012320221200 is an abundant number, since it is smaller than the sum of its proper divisors (8413548476400).

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

3012320221200 is a wasteful number, since it uses less digits than its factorization.

3012320221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258116 (or 258099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3012320221200 its reverse (21220232103), we get a palindrome (3033540453303).

The spelling of 3012320221200 in words is "three trillion, twelve billion, three hundred twenty million, two hundred twenty-one thousand, two hundred".