4222120212224 has 72 divisors (see below), whose sum is σ = 8467093071360. Its totient is φ = 2101209463808.

The previous prime is 4222120212217. The next prime is 4222120212259.

4222120212224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4222120212224³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4222120212193 and 4222120212202.

It is a congruent number.

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, 306766367 + ... + 306780129.

It is an arithmetic number, because the mean of its divisors is an integer number (117598514880).

Almost surely, 2^{4222120212224} 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 4222120212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233546535680).

4222120212224 is an abundant number, since it is smaller than the sum of its proper divisors (4244972859136).

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

4222120212224 is a wasteful number, since it uses less digits than its factorization.

4222120212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19285 (or 19271 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 4222120 and 212224, that added together give a palindrome (4434344).

The spelling of 4222120212224 in words is "four trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twelve thousand, two hundred twenty-four".