22022121002112 has 384 divisors, whose sum is σ = 79231865281920. Its totient is φ = 5703819264000.

The previous prime is 22022121002093. The next prime is 22022121002171. The reversal of 22022121002112 is 21120012122022.

It is a happy number.

22022121002112 is a `hidden beast` number, since 2 + 20 + 221 + 210 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30960862 + ... + 31664162.

It is an arithmetic number, because the mean of its divisors is an integer number (206332982505).

Almost surely, 2^{22022121002112} is an apocalyptic number.

22022121002112 is a gapful number since it is divisible by the number (22) 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 22022121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39615932640960).

22022121002112 is an abundant number, since it is smaller than the sum of its proper divisors (57209744279808).

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

22022121002112 is a wasteful number, since it uses less digits than its factorization.

22022121002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703692 (or 703677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22022121002112 its reverse (21120012122022), we get a palindrome (43142133124134).

The spelling of 22022121002112 in words is "twenty-two trillion, twenty-two billion, one hundred twenty-one million, two thousand, one hundred twelve".