201123210420 has 144 divisors (see below), whose sum is σ = 666071864640. Its totient is φ = 48717811200.

The previous prime is 201123210371. The next prime is 201123210439. The reversal of 201123210420 is 24012321102.

It is a happy number.

201123210420 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 232 + 10 + 420 = 666.

201123210420 is digitally balanced in base 2, 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 = 201123210393 and 201123210402.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2452480 + ... + 2533160.

It is an arithmetic number, because the mean of its divisors is an integer number (4625499060).

Almost surely, 2^201123210420 is an apocalyptic number.

201123210420 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 201123210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333035932320).

201123210420 is an abundant number, since it is smaller than the sum of its proper divisors (464948654220).

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

201123210420 is a wasteful number, since it uses less digits than its factorization.

201123210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81966 (or 81961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201123210420 its reverse (24012321102), we get a palindrome (225135531522).

The spelling of 201123210420 in words is "two hundred one billion, one hundred twenty-three million, two hundred ten thousand, four hundred twenty".