3221232212120 has 768 divisors, whose sum is σ = 9105071431680. Its totient is φ = 1015848345600.

The previous prime is 3221232212117. The next prime is 3221232212137. The reversal of 3221232212120 is 212122321223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5487618467 + ... + 5487619053.

It is an arithmetic number, because the mean of its divisors is an integer number (11855561760).

Almost surely, 2^{3221232212120} 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 3221232212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552535715840).

3221232212120 is an abundant number, since it is smaller than the sum of its proper divisors (5883839219560).

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

3221232212120 is a wasteful number, since it uses less digits than its factorization.

3221232212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 3221232212120 its reverse (212122321223), we get a palindrome (3433354533343).

The spelling of 3221232212120 in words is "three trillion, two hundred twenty-one billion, two hundred thirty-two million, two hundred twelve thousand, one hundred twenty".