3431121221200 has 60 divisors (see below), whose sum is σ = 8243452061020. Its totient is φ = 1372417966080.

The previous prime is 3431121221179. The next prime is 3431121221219. The reversal of 3431121221200 is 21221211343.

It can be written as a sum of positive squares in 6 ways, for example, as 33528539664 + 3397592681536 = 183108^2 + 1843256^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28971706 + ... + 29089894.

Almost surely, 2^{3431121221200} is an apocalyptic number.

It is an amenable number.

3431121221200 is an abundant number, since it is smaller than the sum of its proper divisors (4812330839820).

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

3431121221200 is a wasteful number, since it uses less digits than its factorization.

3431121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190784 (or 190773 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 3431121221200 its reverse (21221211343), we get a palindrome (3452342432543).

The spelling of 3431121221200 in words is "three trillion, four hundred thirty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".