3221211212120 has 128 divisors (see below), whose sum is σ = 8152853264640. Its totient is φ = 1135401546240.

The previous prime is 3221211212111. The next prime is 3221211212171. The reversal of 3221211212120 is 212121121223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3221211212092 and 3221211212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103447 + ... + 2767673.

It is an arithmetic number, because the mean of its divisors is an integer number (63694166130).

Almost surely, 2^{3221211212120} 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 3221211212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076426632320).

3221211212120 is an abundant number, since it is smaller than the sum of its proper divisors (4931642052520).

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

3221211212120 is a wasteful number, since it uses less digits than its factorization.

3221211212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664385 (or 1664381 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 3221211212120 its reverse (212121121223), we get a palindrome (3433332333343).

The spelling of 3221211212120 in words is "three trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, one hundred twenty".