422212101212224 has 112 divisors (see below), whose sum is σ = 854500630652928. Its totient is φ = 206913036515328.

The previous prime is 422212101212219. The next prime is 422212101212249.

It is a happy number.

422212101212224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422212101212192 and 422212101212201.

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, 15717222217 + ... + 15717249079.

It is an arithmetic number, because the mean of its divisors is an integer number (7629469916544).

Almost surely, 2^{422212101212224} 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 422212101212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427250315326464).

422212101212224 is an abundant number, since it is smaller than the sum of its proper divisors (432288529440704).

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

422212101212224 is a wasteful number, since it uses less digits than its factorization.

422212101212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31452 (or 31442 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 42221210 and 1212224, that added together give a palindrome (43433434).

The spelling of 422212101212224 in words is "four hundred twenty-two trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, two hundred twenty-four".