422212424212224 has 216 divisors, whose sum is σ = 1242351232772832. Its totient is φ = 137871456952320.

The previous prime is 422212424212207. The next prime is 422212424212277.

422212424212224 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 1 + 2 + 4 + 2 + 421 + 2 + 224 = 666.

422212424212224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17462902 + ... + 33902474.

It is an arithmetic number, because the mean of its divisors is an integer number (5751626077652).

Almost surely, 2^{422212424212224} 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 422212424212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621175616386416).

422212424212224 is an abundant number, since it is smaller than the sum of its proper divisors (820138808560608).

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

422212424212224 is a wasteful number, since it uses less digits than its factorization.

422212424212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16439823 (or 16439806 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 422212424212224 in words is "four hundred twenty-two trillion, two hundred twelve billion, four hundred twenty-four million, two hundred twelve thousand, two hundred twenty-four".