2122422131424 has 288 divisors, whose sum is σ = 6886020587040. Its totient is φ = 570729148416.

The previous prime is 2122422131399. The next prime is 2122422131483. The reversal of 2122422131424 is 4241312242212.

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 = 2122422131391 and 2122422131400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23064834 + ... + 23156670.

It is an arithmetic number, because the mean of its divisors is an integer number (23909793705).

Almost surely, 2^{2122422131424} is an apocalyptic number.

2122422131424 is a gapful number since it is divisible by the number (24) 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 2122422131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443010293520).

2122422131424 is an abundant number, since it is smaller than the sum of its proper divisors (4763598455616).

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

2122422131424 is an equidigital number, since it uses as much as digits as its factorization.

2122422131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91915 (or 91866 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 2122422131424 its reverse (4241312242212), we get a palindrome (6363734373636).

The spelling of 2122422131424 in words is "two trillion, one hundred twenty-two billion, four hundred twenty-two million, one hundred thirty-one thousand, four hundred twenty-four".