201211113044312 has 256 divisors, whose sum is σ = 479692360224000. Its totient is φ = 77168576102400.

The previous prime is 201211113044309. The next prime is 201211113044317. The reversal of 201211113044312 is 213440311112102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211113044317) 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 63 ways as a sum of consecutive naturals, for example, 259136114 + ... + 259911422.

It is an arithmetic number, because the mean of its divisors is an integer number (1873798282125).

Almost surely, 2^{201211113044312} 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 201211113044312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239846180112000).

201211113044312 is an abundant number, since it is smaller than the sum of its proper divisors (278481247179688).

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

201211113044312 is a wasteful number, since it uses less digits than its factorization.

201211113044312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775550 (or 775546 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 201211113044312 its reverse (213440311112102), we get a palindrome (414651424156414).

The spelling of 201211113044312 in words is "two hundred one trillion, two hundred eleven billion, one hundred thirteen million, forty-four thousand, three hundred twelve".