201322123020 has 144 divisors (see below), whose sum is σ = 627571727328. Its totient is φ = 52202465280.

The previous prime is 201322122997. The next prime is 201322123031. The reversal of 201322123020 is 20321223102.

201322123020 is a `hidden beast` number, since 20 + 132 + 212 + 302 + 0 = 666.

201322123020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201322122984 and 201322123002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11826315 + ... + 11843325.

Almost surely, 2^201322123020 is an apocalyptic number.

201322123020 is a gapful number since it is divisible by the number (20) 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 201322123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313785863664).

201322123020 is an abundant number, since it is smaller than the sum of its proper divisors (426249604308).

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

201322123020 is a wasteful number, since it uses less digits than its factorization.

201322123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18840 (or 18835 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201322123020 its reverse (20321223102), we get a palindrome (221643346122).

The spelling of 201322123020 in words is "two hundred one billion, three hundred twenty-two million, one hundred twenty-three thousand, twenty".