201123320000 has 140 divisors (see below), whose sum is σ = 503668412016. Its totient is φ = 79651200000.

The previous prime is 201123319963. The next prime is 201123320009. The reversal of 201123320000 is 23321102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201123320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4015109 + ... + 4064891.

Almost surely, 2^201123320000 is an apocalyptic number.

201123320000 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 201123320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251834206008).

201123320000 is an abundant number, since it is smaller than the sum of its proper divisors (302545092016).

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

201123320000 is an equidigital number, since it uses as much as digits as its factorization.

201123320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49916 (or 49891 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 201123320000 its reverse (23321102), we get a palindrome (201146641102).

The spelling of 201123320000 in words is "two hundred one billion, one hundred twenty-three million, three hundred twenty thousand".