220123230032 has 80 divisors (see below), whose sum is σ = 470016613440. Its totient is φ = 99401250816.

The previous prime is 220123230031. The next prime is 220123230071. The reversal of 220123230032 is 230032321022.

220123230032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220123229986 and 220123230013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220123230031) 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 15 ways as a sum of consecutive naturals, for example, 1200143 + ... + 1371345.

It is an arithmetic number, because the mean of its divisors is an integer number (5875207668).

Almost surely, 2^220123230032 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 220123230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008306720).

220123230032 is an abundant number, since it is smaller than the sum of its proper divisors (249893383408).

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

220123230032 is a wasteful number, since it uses less digits than its factorization.

220123230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171420 (or 171414 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 220123230032 its reverse (230032321022), we get a palindrome (450155551054).

The spelling of 220123230032 in words is "two hundred twenty billion, one hundred twenty-three million, two hundred thirty thousand, thirty-two".