221220121222112 has 96 divisors (see below), whose sum is σ = 459581085684000. Its totient is φ = 104529964105728.

The previous prime is 221220121222039. The next prime is 221220121222129. The reversal of 221220121222112 is 211222121022122.

221220121222112 is digitally balanced in base 2, because in such base 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 15 ways as a sum of consecutive naturals, for example, 1160939708 + ... + 1161130244.

It is an arithmetic number, because the mean of its divisors is an integer number (4787302975875).

Almost surely, 2^{221220121222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221220121222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229790542842000).

221220121222112 is an abundant number, since it is smaller than the sum of its proper divisors (238360964461888).

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

221220121222112 is a wasteful number, since it uses less digits than its factorization.

221220121222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195268 (or 195260 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 221220121222112 its reverse (211222121022122), we get a palindrome (432442242244234).

The spelling of 221220121222112 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".