112022032122000 has 960 divisors, whose sum is σ = 525322312220160. Its totient is φ = 21486739968000.

The previous prime is 112022032121999. The next prime is 112022032122031. The reversal of 112022032122000 is 221230220211.

112022032122000 is a `hidden beast` number, since 1 + 120 + 2 + 2 + 0 + 321 + 220 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14909386 + ... + 21126614.

It is an arithmetic number, because the mean of its divisors is an integer number (547210741896).

Almost surely, 2^{112022032122000} is an apocalyptic number.

112022032122000 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 112022032122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262661156110080).

112022032122000 is an abundant number, since it is smaller than the sum of its proper divisors (413300280098160).

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

112022032122000 is a wasteful number, since it uses less digits than its factorization.

112022032122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217289 (or 6217270 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112022032122000 its reverse (221230220211), we get a palindrome (112243262342211).

The spelling of 112022032122000 in words is "one hundred twelve trillion, twenty-two billion, thirty-two million, one hundred twenty-two thousand".