422105513402132 has 192 divisors, whose sum is σ = 887293196697600. Its totient is φ = 171893355379200.

The previous prime is 422105513402123. The next prime is 422105513402147. The reversal of 422105513402132 is 231204315501224.

It is a junction number, because it is equal to n+sod(n) for n = 422105513402092 and 422105513402101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12052219973 + ... + 12052254995.

It is an arithmetic number, because the mean of its divisors is an integer number (4621318732800).

Almost surely, 2^{422105513402132} 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 422105513402132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443646598348800).

422105513402132 is an abundant number, since it is smaller than the sum of its proper divisors (465187683295468).

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

422105513402132 is a wasteful number, since it uses less digits than its factorization.

422105513402132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36046 (or 36044 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 422105513402132 its reverse (231204315501224), we get a palindrome (653309828903356).

The spelling of 422105513402132 in words is "four hundred twenty-two trillion, one hundred five billion, five hundred thirteen million, four hundred two thousand, one hundred thirty-two".