4222310132224 has 80 divisors (see below), whose sum is σ = 8621446192128. Its totient is φ = 2064899837952.

The previous prime is 4222310132207. The next prime is 4222310132263.

4222310132224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4222310132192 and 4222310132201.

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 7 ways as a sum of consecutive naturals, for example, 37652302 + ... + 37764274.

Almost surely, 2^{4222310132224} 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 4222310132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310723096064).

4222310132224 is an abundant number, since it is smaller than the sum of its proper divisors (4399136059904).

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

4222310132224 is a wasteful number, since it uses less digits than its factorization.

4222310132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113605 (or 113589 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4222310 and 132224, that added together give a palindrome (4354534).

The spelling of 4222310132224 in words is "four trillion, two hundred twenty-two billion, three hundred ten million, one hundred thirty-two thousand, two hundred twenty-four".