3201312121120 has 96 divisors (see below), whose sum is σ = 7634854701936. Its totient is φ = 1268416512000.

The previous prime is 3201312121097. The next prime is 3201312121123. The reversal of 3201312121120 is 211212131023.

It can be written as a sum of positive squares in 8 ways, for example, as 453634578576 + 2747677542544 = 673524^2 + 1657612^2 .

It is not an unprimeable number, because it can be changed into a prime (3201312121123) 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 15 ways as a sum of consecutive naturals, for example, 9946720 + ... + 10263520.

Almost surely, 2^{3201312121120} 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 3201312121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817427350968).

3201312121120 is an abundant number, since it is smaller than the sum of its proper divisors (4433542580816).

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

3201312121120 is a wasteful number, since it uses less digits than its factorization.

3201312121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317414 (or 317406 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 3201312121120 its reverse (211212131023), we get a palindrome (3412524252143).

The spelling of 3201312121120 in words is "three trillion, two hundred one billion, three hundred twelve million, one hundred twenty-one thousand, one hundred twenty".