201231211331232 has 144 divisors (see below), whose sum is σ = 586494213171048. Its totient is φ = 65409160642560.

The previous prime is 201231211331231. The next prime is 201231211331243. The reversal of 201231211331232 is 232133112132102.

201231211331232 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 312 + 1 + 1 + 3 + 312 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117620011516176 + 83611199815056 = 10845276^2 + 9143916^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 201231211331196 and 201231211331205.

It is not an unprimeable number, because it can be changed into a prime (201231211331231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20091328 + ... + 28392320.

Almost surely, 2^{201231211331232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201231211331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293247106585524).

201231211331232 is an abundant number, since it is smaller than the sum of its proper divisors (385263001839816).

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

201231211331232 is a wasteful number, since it uses less digits than its factorization.

201231211331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303103 (or 8303092 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 201231211331232 its reverse (232133112132102), we get a palindrome (433364323463334).

The spelling of 201231211331232 in words is "two hundred one trillion, two hundred thirty-one billion, two hundred eleven million, three hundred thirty-one thousand, two hundred thirty-two".