21220200013320 has 768 divisors, whose sum is σ = 90538546176000. Its totient is φ = 4175935948800.

The previous prime is 21220200013273. The next prime is 21220200013321. The reversal of 21220200013320 is 2331000202212.

It is a super-2 number, since 2×21220200013320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21220200013293 and 21220200013302.

It is not an unprimeable number, because it can be changed into a prime (21220200013321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2433783921 + ... + 2433792639.

It is an arithmetic number, because the mean of its divisors is an integer number (117888732000).

Almost surely, 2^{21220200013320} is an apocalyptic number.

21220200013320 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 21220200013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45269273088000).

21220200013320 is an abundant number, since it is smaller than the sum of its proper divisors (69318346162680).

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

21220200013320 is a wasteful number, since it uses less digits than its factorization.

21220200013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13394 (or 13387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21220200013320 its reverse (2331000202212), we get a palindrome (23551200215532).

The spelling of 21220200013320 in words is "twenty-one trillion, two hundred twenty billion, two hundred million, thirteen thousand, three hundred twenty".