4222132312224 has 96 divisors (see below), whose sum is σ = 11173784086080. Its totient is φ = 1395900526592.

The previous prime is 4222132312193. The next prime is 4222132312253.

4222132312224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 4222132312191 and 4222132312200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6655384 + ... + 7262120.

It is an arithmetic number, because the mean of its divisors is an integer number (116393584230).

Almost surely, 2^{4222132312224} 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 4222132312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586892043040).

4222132312224 is an abundant number, since it is smaller than the sum of its proper divisors (6951651773856).

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

4222132312224 is a wasteful number, since it uses less digits than its factorization.

4222132312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607342 (or 607334 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The spelling of 4222132312224 in words is "four trillion, two hundred twenty-two billion, one hundred thirty-two million, three hundred twelve thousand, two hundred twenty-four".