201232320000000 has 832 divisors, whose sum is σ = 677918700461184. Its totient is φ = 53084160000000.

The previous prime is 201232319999993. The next prime is 201232320000071. The reversal of 201232320000000 is 23232102.

It is a super-2 number, since 2×201232320000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 93119998920 + ... + 93120001080.

It is an arithmetic number, because the mean of its divisors is an integer number (814806130362).

Almost surely, 2^{201232320000000} is an apocalyptic number.

201232320000000 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 201232320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338959350230592).

201232320000000 is an abundant number, since it is smaller than the sum of its proper divisors (476686380461184).

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

201232320000000 is an frugal number, since it uses more digits than its factorization.

201232320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 201232320000000 its reverse (23232102), we get a palindrome (201232343232102).

The spelling of 201232320000000 in words is "two hundred one trillion, two hundred thirty-two billion, three hundred twenty million", and thus it is an aban number.