3213301121200 has 240 divisors, whose sum is σ = 8205761583360. Its totient is φ = 1206732764160.

The previous prime is 3213301121183. The next prime is 3213301121203. The reversal of 3213301121200 is 21211033123.

It is not an unprimeable number, because it can be changed into a prime (3213301121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107284627 + ... + 107314573.

It is an arithmetic number, because the mean of its divisors is an integer number (34190673264).

Almost surely, 2^{3213301121200} 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 3213301121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102880791680).

3213301121200 is an abundant number, since it is smaller than the sum of its proper divisors (4992460462160).

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

3213301121200 is a wasteful number, since it uses less digits than its factorization.

3213301121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30204 (or 30193 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 3213301121200 its reverse (21211033123), we get a palindrome (3234512154323).

The spelling of 3213301121200 in words is "three trillion, two hundred thirteen billion, three hundred one million, one hundred twenty-one thousand, two hundred".