201232211120 has 80 divisors (see below), whose sum is σ = 475191684000. Its totient is φ = 79240280064.

The previous prime is 201232211083. The next prime is 201232211123. The reversal of 201232211120 is 21112232102.

201232211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (201232211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568771 + ... + 1692189.

It is an arithmetic number, because the mean of its divisors is an integer number (5939896050).

Almost surely, 2^201232211120 is an apocalyptic number.

201232211120 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 201232211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237595842000).

201232211120 is an abundant number, since it is smaller than the sum of its proper divisors (273959472880).

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

201232211120 is a wasteful number, since it uses less digits than its factorization.

201232211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123750 (or 123744 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 201232211120 its reverse (21112232102), we get a palindrome (222344443222).

The spelling of 201232211120 in words is "two hundred one billion, two hundred thirty-two million, two hundred eleven thousand, one hundred twenty".