112121712000 has 1024 divisors, whose sum is σ = 433060992000. Its totient is φ = 28490342400.

The previous prime is 112121711981. The next prime is 112121712007. The reversal of 112121712000 is 217121211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121712007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1350863959 + ... + 1350864041.

It is an arithmetic number, because the mean of its divisors is an integer number (422911125).

Almost surely, 2^112121712000 is an apocalyptic number.

112121712000 is a gapful number since it is divisible by the number (10) 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 112121712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216530496000).

112121712000 is an abundant number, since it is smaller than the sum of its proper divisors (320939280000).

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

112121712000 is an equidigital number, since it uses as much as digits as its factorization.

112121712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 112121712000 its reverse (217121211), we get a palindrome (112338833211).

The spelling of 112121712000 in words is "one hundred twelve billion, one hundred twenty-one million, seven hundred twelve thousand".