31211200211268 has 384 divisors, whose sum is σ = 96771002904576. Its totient is φ = 7579721318400.

The previous prime is 31211200211267. The next prime is 31211200211327. The reversal of 31211200211268 is 86211200211213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31211200211267) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2936966571 + ... + 2936977197.

It is an arithmetic number, because the mean of its divisors is an integer number (252007820064).

Almost surely, 2^{31211200211268} 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 31211200211268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48385501452288).

31211200211268 is an abundant number, since it is smaller than the sum of its proper divisors (65559802693308).

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

31211200211268 is a wasteful number, since it uses less digits than its factorization.

31211200211268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11883 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Subtracting 31211200211268 from its reverse (86211200211213), we obtain a palindrome (54999999999945).

The spelling of 31211200211268 in words is "thirty-one trillion, two hundred eleven billion, two hundred million, two hundred eleven thousand, two hundred sixty-eight".