112171121712 has 240 divisors, whose sum is σ = 357989413600. Its totient is φ = 32695902720.

The previous prime is 112171121707. The next prime is 112171121719. The reversal of 112171121712 is 217121171211.

112171121712 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112171121712² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112171121719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6001662 + ... + 6020322.

Almost surely, 2^112171121712 is an apocalyptic number.

112171121712 is a gapful number since it is divisible by the number (12) 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 112171121712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178994706800).

112171121712 is an abundant number, since it is smaller than the sum of its proper divisors (245818291888).

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

112171121712 is a wasteful number, since it uses less digits than its factorization.

112171121712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18733 (or 18698 counting only the distinct ones).

The product of its digits is 392, while the sum is 27.

Adding to 112171121712 its reverse (217121171211), we get a palindrome (329292292923).

The spelling of 112171121712 in words is "one hundred twelve billion, one hundred seventy-one million, one hundred twenty-one thousand, seven hundred twelve".