4812222184 has 144 divisors (see below), whose sum is σ = 11867618880. Its totient is φ = 1808876160.

The previous prime is 4812222119. The next prime is 4812222187.

4812222184 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (4812222187) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3625729 + ... + 3627055.

It is an arithmetic number, because the mean of its divisors is an integer number (82414020).

Almost surely, 2^4812222184 is an apocalyptic number.

4812222184 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 4812222184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933809440).

4812222184 is an abundant number, since it is smaller than the sum of its proper divisors (7055396696).

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

4812222184 is a wasteful number, since it uses less digits than its factorization.

4812222184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1376 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 4812222184 is about 69370.1822399221. The cubic root of 4812222184 is about 1688.2958656085.

The spelling of 4812222184 in words is "four billion, eight hundred twelve million, two hundred twenty-two thousand, one hundred eighty-four".