220211221112220 has 192 divisors, whose sum is σ = 687036437619840. Its totient is φ = 52327711027200.

The previous prime is 220211221112219. The next prime is 220211221112257. The reversal of 220211221112220 is 22211122112022.

220211221112220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 131745310 + ... + 133406330.

It is an arithmetic number, because the mean of its divisors is an integer number (3578314779270).

Almost surely, 2^{220211221112220} is an apocalyptic number.

220211221112220 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 220211221112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343518218809920).

220211221112220 is an abundant number, since it is smaller than the sum of its proper divisors (466825216507620).

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

220211221112220 is a wasteful number, since it uses less digits than its factorization.

220211221112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666936 (or 1666934 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 220211221112220 its reverse (22211122112022), we get a palindrome (242422343224242).

The spelling of 220211221112220 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty".