112001013312 has 112 divisors (see below), whose sum is σ = 304689686784. Its totient is φ = 36288000000.

The previous prime is 112001013307. The next prime is 112001013323. The reversal of 112001013312 is 213310100211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112001013291 and 112001013300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107062 + ... + 2159562.

It is an arithmetic number, because the mean of its divisors is an integer number (2720443632).

Almost surely, 2^112001013312 is an apocalyptic number.

112001013312 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 112001013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152344843392).

112001013312 is an abundant number, since it is smaller than the sum of its proper divisors (192688673472).

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

112001013312 is a wasteful number, since it uses less digits than its factorization.

112001013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52828 (or 52818 counting only the distinct ones).

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

Adding to 112001013312 its reverse (213310100211), we get a palindrome (325311113523).

The spelling of 112001013312 in words is "one hundred twelve billion, one million, thirteen thousand, three hundred twelve".