3121201211200 has 42 divisors (see below), whose sum is σ = 7680105734246. Its totient is φ = 1248480483840.

The previous prime is 3121201211153. The next prime is 3121201211239. The reversal of 3121201211200 is 21121021213.

3121201211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 193023150336 + 2928178060864 = 439344^2 + 1711192^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 975373779 + ... + 975376978.

Almost surely, 2^{3121201211200} is an apocalyptic number.

It is an amenable number.

3121201211200 is an abundant number, since it is smaller than the sum of its proper divisors (4558904523046).

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

3121201211200 is a wasteful number, since it uses less digits than its factorization.

3121201211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950750779 (or 1950750764 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 3121201211200 its reverse (21121021213), we get a palindrome (3142322232413).

The spelling of 3121201211200 in words is "three trillion, one hundred twenty-one billion, two hundred one million, two hundred eleven thousand, two hundred".