22112122212000 has 288 divisors, whose sum is σ = 78759263825424. Its totient is φ = 5875276032000.

The previous prime is 22112122211969. The next prime is 22112122212079. The reversal of 22112122212000 is 21222121122.

It is a happy number.

22112122212000 is a `hidden beast` number, since 2 + 211 + 212 + 221 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 591170303376 + 21520951908624 = 768876^2 + 4639068^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8863290 + ... + 11080710.

Almost surely, 2^{22112122212000} is an apocalyptic number.

22112122212000 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 22112122212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39379631912712).

22112122212000 is an abundant number, since it is smaller than the sum of its proper divisors (56647141613424).

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

22112122212000 is a wasteful number, since it uses less digits than its factorization.

22112122212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217729 (or 2217708 counting only the distinct ones).

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

Adding to 22112122212000 its reverse (21222121122), we get a palindrome (22133344333122).

The spelling of 22112122212000 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twelve thousand".