20331212221320 has 512 divisors, whose sum is σ = 81964055900160. Its totient is φ = 3896335872000.

The previous prime is 20331212221301. The next prime is 20331212221393. The reversal of 20331212221320 is 2312221213302.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140588250 + ... + 140732790.

It is an arithmetic number, because the mean of its divisors is an integer number (160086046680).

Almost surely, 2^{20331212221320} is an apocalyptic number.

20331212221320 is a gapful number since it is divisible by the number (20) 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 20331212221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40982027950080).

20331212221320 is an abundant number, since it is smaller than the sum of its proper divisors (61632843678840).

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

20331212221320 is a wasteful number, since it uses less digits than its factorization.

20331212221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145757 (or 145753 counting only the distinct ones).

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

Adding to 20331212221320 its reverse (2312221213302), we get a palindrome (22643433434622).

The spelling of 20331212221320 in words is "twenty trillion, three hundred thirty-one billion, two hundred twelve million, two hundred twenty-one thousand, three hundred twenty".