4221111224 has 64 divisors (see below), whose sum is σ = 8896716000. Its totient is φ = 1861150720.

The previous prime is 4221111221. The next prime is 4221111259.

4221111224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4221111196 and 4221111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221111221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410012 + ... + 420180.

Almost surely, 2^4221111224 is an apocalyptic number.

4221111224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221111224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448358000).

4221111224 is an abundant number, since it is smaller than the sum of its proper divisors (4675604776).

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

4221111224 is a wasteful number, since it uses less digits than its factorization.

4221111224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328 (or 10324 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 4221111224 is about 64970.0794520062. The cubic root of 4221111224 is about 1616.1274192491.

It can be divided in two parts, 42211 and 11224, that added together give a palindrome (53435).

The spelling of 4221111224 in words is "four billion, two hundred twenty-one million, one hundred eleven thousand, two hundred twenty-four".