22221122112000 has 1440 divisors, whose sum is σ = 97154283942144. Its totient is φ = 4858140672000.

The previous prime is 22221122111971. The next prime is 22221122112011. The reversal of 22221122112000 is 21122112222.

It is a happy number.

22221122112000 is a `hidden beast` number, since 22 + 221 + 1 + 221 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 649134885 + ... + 649169115.

Almost surely, 2^{22221122112000} is an apocalyptic number.

22221122112000 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 22221122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48577141971072).

22221122112000 is an abundant number, since it is smaller than the sum of its proper divisors (74933161830144).

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

22221122112000 is a wasteful number, since it uses less digits than its factorization.

22221122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34307 (or 34271 counting only the distinct ones).

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

Adding to 22221122112000 its reverse (21122112222), we get a palindrome (22242244224222).

The spelling of 22221122112000 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand".