422212202212224 has 128 divisors (see below), whose sum is σ = 1128394068940800. Its totient is φ = 139874557722624.

The previous prime is 422212202212219. The next prime is 422212202212253.

422212202212224 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 422212202212191 and 422212202212200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46098657 + ... + 54493215.

It is an arithmetic number, because the mean of its divisors is an integer number (8815578663600).

Almost surely, 2^{422212202212224} 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 422212202212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564197034470400).

422212202212224 is an abundant number, since it is smaller than the sum of its proper divisors (706181866728576).

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

422212202212224 is a wasteful number, since it uses less digits than its factorization.

422212202212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8395380 (or 8395368 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 42221220 and 2212224, that added together give a palindrome (44433444).

The spelling of 422212202212224 in words is "four hundred twenty-two trillion, two hundred twelve billion, two hundred two million, two hundred twelve thousand, two hundred twenty-four".