3122121331200 has 480 divisors, whose sum is σ = 10623723073920. Its totient is φ = 807675494400.

The previous prime is 3122121331177. The next prime is 3122121331309. The reversal of 3122121331200 is 21331212213.

3122121331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510064140 + ... + 510070260.

It is an arithmetic number, because the mean of its divisors is an integer number (22132756404).

Almost surely, 2^{3122121331200} is an apocalyptic number.

3122121331200 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 3122121331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311861536960).

3122121331200 is an abundant number, since it is smaller than the sum of its proper divisors (7501601742720).

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

3122121331200 is a wasteful number, since it uses less digits than its factorization.

3122121331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6527 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 3122121331200 its reverse (21331212213), we get a palindrome (3143452543413).

The spelling of 3122121331200 in words is "three trillion, one hundred twenty-two billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred".