112100301312 has 160 divisors (see below), whose sum is σ = 321682268160. Its totient is φ = 34588815360.

The previous prime is 112100301223. The next prime is 112100301323. The reversal of 112100301312 is 213103001211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112100301291 and 112100301300.

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, 1043989 + ... + 1146347.

It is an arithmetic number, because the mean of its divisors is an integer number (2010514176).

Almost surely, 2^112100301312 is an apocalyptic number.

112100301312 is a gapful number since it is divisible by the number (12) 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 112100301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160841134080).

112100301312 is an abundant number, since it is smaller than the sum of its proper divisors (209581966848).

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

112100301312 is a wasteful number, since it uses less digits than its factorization.

112100301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102434 (or 102418 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112100301312 its reverse (213103001211), we get a palindrome (325203302523).

The spelling of 112100301312 in words is "one hundred twelve billion, one hundred million, three hundred one thousand, three hundred twelve".