422231020132224 has 128 divisors (see below), whose sum is σ = 1132810086276000. Its totient is φ = 139331167027200.

The previous prime is 422231020132211. The next prime is 422231020132367.

422231020132224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 422231020132191 and 422231020132200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285060612 + ... + 286537980.

Almost surely, 2^{422231020132224} 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 422231020132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566405043138000).

422231020132224 is an abundant number, since it is smaller than the sum of its proper divisors (710579066143776).

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

422231020132224 is a wasteful number, since it uses less digits than its factorization.

422231020132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484856 (or 1484844 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 422231020132224 in words is "four hundred twenty-two trillion, two hundred thirty-one billion, twenty million, one hundred thirty-two thousand, two hundred twenty-four".