112122255296688 has 320 divisors, whose sum is σ = 359109962158080. Its totient is φ = 29353550570496.

The previous prime is 112122255296683. The next prime is 112122255296749. The reversal of 112122255296688 is 886692552221211.

It is not an unprimeable number, because it can be changed into a prime (112122255296683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6695056731 + ... + 6695073477.

It is an arithmetic number, because the mean of its divisors is an integer number (1122218631744).

Almost surely, 2^{112122255296688} 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 112122255296688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179554981079040).

112122255296688 is an abundant number, since it is smaller than the sum of its proper divisors (246987706861392).

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

112122255296688 is a wasteful number, since it uses less digits than its factorization.

112122255296688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27944 (or 27938 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 60.

The spelling of 112122255296688 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred fifty-five million, two hundred ninety-six thousand, six hundred eighty-eight".