112021122002112 has 168 divisors, whose sum is σ = 322599055933440. Its totient is φ = 37165093178880.

The previous prime is 112021122002081. The next prime is 112021122002221. The reversal of 112021122002112 is 211200221120211.

112021122002112 is a `hidden beast` number, since 1 + 1 + 20 + 211 + 220 + 0 + 211 + 2 = 666.

It is a super-5 number, since 5×112021122002112⁵ (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105141187 + ... + 106201277.

Almost surely, 2^{112021122002112} is an apocalyptic number.

112021122002112 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 112021122002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161299527966720).

112021122002112 is an abundant number, since it is smaller than the sum of its proper divisors (210577933931328).

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

112021122002112 is a wasteful number, since it uses less digits than its factorization.

112021122002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060971 (or 1060958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112021122002112 its reverse (211200221120211), we get a palindrome (323221343122323).

The spelling of 112021122002112 in words is "one hundred twelve trillion, twenty-one billion, one hundred twenty-two million, two thousand, one hundred twelve".