12022110122000 has 480 divisors, whose sum is σ = 33694818393600. Its totient is φ = 4134113280000.

The previous prime is 12022110121969. The next prime is 12022110122003. The reversal of 12022110122000 is 22101122021.

It is a super-2 number, since 2×12022110122000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12022110122003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2947315961 + ... + 2947320039.

It is an arithmetic number, because the mean of its divisors is an integer number (70197538320).

Almost surely, 2^{12022110122000} is an apocalyptic number.

12022110122000 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 12022110122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16847409196800).

12022110122000 is an abundant number, since it is smaller than the sum of its proper divisors (21672708271600).

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

12022110122000 is a wasteful number, since it uses less digits than its factorization.

12022110122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12022110122000 its reverse (22101122021), we get a palindrome (12044211244021).

The spelling of 12022110122000 in words is "twelve trillion, twenty-two billion, one hundred ten million, one hundred twenty-two thousand".