22120112322000 has 3840 divisors, whose sum is σ = 107766816768000. Its totient is φ = 4087936512000.

The previous prime is 22120112321897. The next prime is 22120112322001. The reversal of 22120112322000 is 22321102122.

22120112322000 is a `hidden beast` number, since 221 + 2 + 0 + 11 + 232 + 200 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120112322001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35735237691 + ... + 35735238309.

It is an arithmetic number, because the mean of its divisors is an integer number (28064275200).

Almost surely, 2^{22120112322000} is an apocalyptic number.

22120112322000 is a gapful number since it is divisible by the number (20) 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 22120112322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53883408384000).

22120112322000 is an abundant number, since it is smaller than the sum of its proper divisors (85646704446000).

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

22120112322000 is a wasteful number, since it uses less digits than its factorization.

22120112322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 748 counting only the distinct ones).

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

Adding to 22120112322000 its reverse (22321102122), we get a palindrome (22142433424122).

The spelling of 22120112322000 in words is "twenty-two trillion, one hundred twenty billion, one hundred twelve million, three hundred twenty-two thousand".