224122134222112 has 192 divisors, whose sum is σ = 519806036171520. Its totient is φ = 93113389264896.

The previous prime is 224122134222053. The next prime is 224122134222157. The reversal of 224122134222112 is 211222431221422.

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 31 ways as a sum of consecutive naturals, for example, 5330762563 + ... + 5330804605.

It is an arithmetic number, because the mean of its divisors is an integer number (2707323105060).

Almost surely, 2^{224122134222112} 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 224122134222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259903018085760).

224122134222112 is an abundant number, since it is smaller than the sum of its proper divisors (295683901949408).

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

224122134222112 is a wasteful number, since it uses less digits than its factorization.

224122134222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44443 (or 44435 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

Adding to 224122134222112 its reverse (211222431221422), we get a palindrome (435344565443534).

The spelling of 224122134222112 in words is "two hundred twenty-four trillion, one hundred twenty-two billion, one hundred thirty-four million, two hundred twenty-two thousand, one hundred twelve".