201232120320 has 960 divisors, whose sum is σ = 897165434880. Its totient is φ = 40454553600.

The previous prime is 201232120319. The next prime is 201232120321. The reversal of 201232120320 is 23021232102.

201232120320 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 321 + 20 + 320 = 666.

201232120320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201232120319) and next prime (201232120321).

It is a tau number, because it is divible by the number of its divisors (960).

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 = 201232120293 and 201232120302.

It is not an unprimeable number, because it can be changed into a prime (201232120321) 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 95 ways as a sum of consecutive naturals, for example, 54994651 + ... + 54998309.

It is an arithmetic number, because the mean of its divisors is an integer number (934547328).

Almost surely, 2^201232120320 is an apocalyptic number.

201232120320 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 201232120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448582717440).

201232120320 is an abundant number, since it is smaller than the sum of its proper divisors (695933314560).

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

201232120320 is a wasteful number, since it uses less digits than its factorization.

201232120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3718 counting only the distinct ones).

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

Adding to 201232120320 its reverse (23021232102), we get a palindrome (224253352422).

The spelling of 201232120320 in words is "two hundred one billion, two hundred thirty-two million, one hundred twenty thousand, three hundred twenty".