422312121213224 has 384 divisors, whose sum is σ = 937633863801600. Its totient is φ = 177777954816000.

The previous prime is 422312121213221. The next prime is 422312121213299.

It is a happy number.

422312121213224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×422312121213224² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422312121213221) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 25605528722 + ... + 25605545214.

It is an arithmetic number, because the mean of its divisors is an integer number (2441754853650).

Almost surely, 2^{422312121213224} is an apocalyptic number.

422312121213224 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 422312121213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468816931900800).

422312121213224 is an abundant number, since it is smaller than the sum of its proper divisors (515321742588376).

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

422312121213224 is a wasteful number, since it uses less digits than its factorization.

422312121213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16897 (or 16882 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 422312121213224 in words is "four hundred twenty-two trillion, three hundred twelve billion, one hundred twenty-one million, two hundred thirteen thousand, two hundred twenty-four".