112120275656640 has 224 divisors, whose sum is σ = 360046769693184. Its totient is φ = 29558479564800.

The previous prime is 112120275656581. The next prime is 112120275656647. The reversal of 112120275656640 is 46656572021211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 112120275656640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120275656647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48903990 + ... + 51145290.

It is an arithmetic number, because the mean of its divisors is an integer number (1607351650416).

Almost surely, 2^{112120275656640} is an apocalyptic number.

112120275656640 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 112120275656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180023384846592).

112120275656640 is an abundant number, since it is smaller than the sum of its proper divisors (247926494036544).

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

112120275656640 is a wasteful number, since it uses less digits than its factorization.

112120275656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241915 (or 2241905 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 112120275656640 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred seventy-five million, six hundred fifty-six thousand, six hundred forty".