220221222122112 has 128 divisors (see below), whose sum is σ = 589204155456000. Its totient is φ = 72874862582784.

The previous prime is 220221222122089. The next prime is 220221222122141. The reversal of 220221222122112 is 211221222122022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1034267053 + ... + 1034479955.

It is an arithmetic number, because the mean of its divisors is an integer number (4603157464500).

Almost surely, 2^{220221222122112} 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 220221222122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294602077728000).

220221222122112 is an abundant number, since it is smaller than the sum of its proper divisors (368982933333888).

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

220221222122112 is a wasteful number, since it uses less digits than its factorization.

220221222122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232438 (or 232426 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 220221222122112 its reverse (211221222122022), we get a palindrome (431442444244134).

The spelling of 220221222122112 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".