112001220002112 has 448 divisors, whose sum is σ = 347099193999360. Its totient is φ = 31208934242304.

The previous prime is 112001220002083. The next prime is 112001220002197. The reversal of 112001220002112 is 211200022100211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×112001220002112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112001220002091 and 112001220002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27059968939 + ... + 27059973077.

Almost surely, 2^{112001220002112} is an apocalyptic number.

112001220002112 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 112001220002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173549596999680).

112001220002112 is an abundant number, since it is smaller than the sum of its proper divisors (235097973997248).

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

112001220002112 is a wasteful number, since it uses less digits than its factorization.

112001220002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5608 counting only the distinct ones).

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

Adding to 112001220002112 its reverse (211200022100211), we get a palindrome (323201242102323).

The spelling of 112001220002112 in words is "one hundred twelve trillion, one billion, two hundred twenty million, two thousand, one hundred twelve".