221210000000220 has 768 divisors, whose sum is σ = 817447757414400. Its totient is φ = 43363482624000.

The previous prime is 221210000000191. The next prime is 221210000000233. The reversal of 221210000000220 is 22000000012122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221210000000196 and 221210000000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 904884966 + ... + 905129394.

It is an arithmetic number, because the mean of its divisors is an integer number (1064385100800).

Almost surely, 2^{221210000000220} is an apocalyptic number.

221210000000220 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 221210000000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408723878707200).

221210000000220 is an abundant number, since it is smaller than the sum of its proper divisors (596237757414180).

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

221210000000220 is a wasteful number, since it uses less digits than its factorization.

221210000000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244650 (or 244648 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221210000000220 its reverse (22000000012122), we get a palindrome (243210000012342).

The spelling of 221210000000220 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred twenty", and thus it is an aban number.