711002201112112 has 1440 divisors, whose sum is σ = 1877329455724800. Its totient is φ = 259481904095232.

The previous prime is 711002201112107. The next prime is 711002201112163. The reversal of 711002201112112 is 211211102200117.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1906172120758 + ... + 1906172121130.

It is an arithmetic number, because the mean of its divisors is an integer number (1303701010920).

Almost surely, 2^{711002201112112} 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 711002201112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938664727862400).

711002201112112 is an abundant number, since it is smaller than the sum of its proper divisors (1166327254612688).

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

711002201112112 is a wasteful number, since it uses less digits than its factorization.

711002201112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 711002201112112 its reverse (211211102200117), we get a palindrome (922213303312229).

The spelling of 711002201112112 in words is "seven hundred eleven trillion, two billion, two hundred one million, one hundred twelve thousand, one hundred twelve".