112210012002012 has 96 divisors (see below), whose sum is σ = 265553940153600. Its totient is φ = 36873043468800.

The previous prime is 112210012002007. The next prime is 112210012002019. The reversal of 112210012002012 is 210200210012211.

It is a super-3 number, since 3×112210012002012³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112210012001982 and 112210012002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112210012002019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560470687 + ... + 560670857.

It is an arithmetic number, because the mean of its divisors is an integer number (2766186876600).

Almost surely, 2^{112210012002012} is an apocalyptic number.

112210012002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112210012002012 is an abundant number, since it is smaller than the sum of its proper divisors (153343928151588).

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

112210012002012 is a wasteful number, since it uses less digits than its factorization.

112210012002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201827 (or 201825 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112210012002012 its reverse (210200210012211), we get a palindrome (322410222014223).

The spelling of 112210012002012 in words is "one hundred twelve trillion, two hundred ten billion, twelve million, two thousand, twelve".