221211212122112 has 96 divisors (see below), whose sum is σ = 465610157812800. Its totient is φ = 104780648300544.

The previous prime is 221211212122099. The next prime is 221211212122127. The reversal of 221211212122112 is 211221212112122.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1378844333 + ... + 1379004755.

It is an arithmetic number, because the mean of its divisors is an integer number (4850105810550).

Almost surely, 2^{221211212122112} 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 221211212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232805078906400).

221211212122112 is an abundant number, since it is smaller than the sum of its proper divisors (244398945690688).

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

221211212122112 is a wasteful number, since it uses less digits than its factorization.

221211212122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195901 (or 195881 counting only the distinct ones).

The product of its digits is 256, while the sum is 23.

Adding to 221211212122112 its reverse (211221212112122), we get a palindrome (432432424234234).

The spelling of 221211212122112 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".