112301111312000 has 128 divisors (see below), whose sum is σ = 300686226094800. Its totient is φ = 41465025638400.

The previous prime is 112301111311979. The next prime is 112301111312051. The reversal of 112301111312000 is 213111103211.

It can be written as a sum of positive squares in 8 ways, for example, as 14034493957696 + 98266617354304 = 3746264^2 + 9912952^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×112301111312000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112301111312000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269746595 + ... + 270162594.

Almost surely, 2^{112301111312000} is an apocalyptic number.

112301111312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112301111312000 is an abundant number, since it is smaller than the sum of its proper divisors (188385114782800).

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

112301111312000 is an equidigital number, since it uses as much as digits as its factorization.

112301111312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539909231 (or 539909209 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 112301111312000 its reverse (213111103211), we get a palindrome (112514222415211).

The spelling of 112301111312000 in words is "one hundred twelve trillion, three hundred one billion, one hundred eleven million, three hundred twelve thousand".