112252117373144 has 128 divisors (see below), whose sum is σ = 256633942032000. Its totient is φ = 44933075066880.

The previous prime is 112252117373129. The next prime is 112252117373159. The reversal of 112252117373144 is 441373711252211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112252117373129) and next prime (112252117373159).

It is a junction number, because it is equal to n+sod(n) for n = 112252117373095 and 112252117373104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154677854 + ... + 155401874.

It is an arithmetic number, because the mean of its divisors is an integer number (2004952672125).

Almost surely, 2^{112252117373144} is an apocalyptic number.

112252117373144 is a gapful number since it is divisible by the number (14) 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 112252117373144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128316971016000).

112252117373144 is an abundant number, since it is smaller than the sum of its proper divisors (144381824658856).

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

112252117373144 is a wasteful number, since it uses less digits than its factorization.

112252117373144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725293 (or 725289 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The spelling of 112252117373144 in words is "one hundred twelve trillion, two hundred fifty-two billion, one hundred seventeen million, three hundred seventy-three thousand, one hundred forty-four".