112279753968075 has 120 divisors (see below), whose sum is σ = 216424771886400. Its totient is φ = 57498561167040.

The previous prime is 112279753968043. The next prime is 112279753968121. The reversal of 112279753968075 is 570869357972211.

It is a happy number.

112279753968075 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 7 + 9 + 7 + 539 + 6 + 80 + 7 + 5 = 666.

It is not a de Polignac number, because 112279753968075 - 2⁵ = 112279753968043 is a prime.

It is a super-2 number, since 2×112279753968075² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112279753967994 and 112279753968012.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5790205 + ... + 16065054.

It is an arithmetic number, because the mean of its divisors is an integer number (1803539765720).

Almost surely, 2^{112279753968075} is an apocalyptic number.

112279753968075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112279753968075 is a deficient number, since it is larger than the sum of its proper divisors (104145017918325).

112279753968075 is a wasteful number, since it uses less digits than its factorization.

112279753968075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21855383 (or 21855369 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 72.

The spelling of 112279753968075 in words is "one hundred twelve trillion, two hundred seventy-nine billion, seven hundred fifty-three million, nine hundred sixty-eight thousand, seventy-five".