3220213413120 has 576 divisors, whose sum is σ = 11927248220160. Its totient is φ = 732229632000.

The previous prime is 3220213413107. The next prime is 3220213413163. The reversal of 3220213413120 is 213143120223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81038697 + ... + 81078423.

It is an arithmetic number, because the mean of its divisors is an integer number (20707028160).

Almost surely, 2^{3220213413120} is an apocalyptic number.

3220213413120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220213413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963624110080).

3220213413120 is an abundant number, since it is smaller than the sum of its proper divisors (8707034807040).

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

3220213413120 is a wasteful number, since it uses less digits than its factorization.

3220213413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39882 (or 39868 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3220213413120 its reverse (213143120223), we get a palindrome (3433356533343).

The spelling of 3220213413120 in words is "three trillion, two hundred twenty billion, two hundred thirteen million, four hundred thirteen thousand, one hundred twenty".