112022111111000 has 256 divisors, whose sum is σ = 267671207232000. Its totient is φ = 43869228480000.

The previous prime is 112022111110967. The next prime is 112022111111017. The reversal of 112022111111000 is 111111220211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13305864791 + ... + 13305873209.

It is an arithmetic number, because the mean of its divisors is an integer number (1045590653250).

Almost surely, 2^{112022111111000} is an apocalyptic number.

112022111111000 is a gapful number since it is divisible by the number (10) 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 112022111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133835603616000).

112022111111000 is an abundant number, since it is smaller than the sum of its proper divisors (155649096121000).

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

112022111111000 is a wasteful number, since it uses less digits than its factorization.

112022111111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9491 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112022111111000 its reverse (111111220211), we get a palindrome (112133222331211).

The spelling of 112022111111000 in words is "one hundred twelve trillion, twenty-two billion, one hundred eleven million, one hundred eleven thousand".