3201122110120 has 128 divisors (see below), whose sum is σ = 7883619840000. Its totient is φ = 1160148890880.

The previous prime is 3201122110079. The next prime is 3201122110127. The reversal of 3201122110120 is 210112211023.

3201122110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3201122110094 and 3201122110103.

It is not an unprimeable number, because it can be changed into a prime (3201122110127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347981281 + ... + 347990479.

It is an arithmetic number, because the mean of its divisors is an integer number (61590780000).

Almost surely, 2^{3201122110120} 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 3201122110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941809920000).

3201122110120 is an abundant number, since it is smaller than the sum of its proper divisors (4682497729880).

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

3201122110120 is a wasteful number, since it uses less digits than its factorization.

3201122110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11783 (or 11779 counting only the distinct ones).

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

Adding to 3201122110120 its reverse (210112211023), we get a palindrome (3411234321143).

The spelling of 3201122110120 in words is "three trillion, two hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty".