22022122011120 has 800 divisors, whose sum is σ = 95389257553920. Its totient is φ = 4574587207680.

The previous prime is 22022122011103. The next prime is 22022122011173. The reversal of 22022122011120 is 2111022122022.

It is a happy number.

22022122011120 is a `hidden beast` number, since 220 + 2 + 212 + 201 + 11 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22022122011093 and 22022122011102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2466354816 + ... + 2466363744.

Almost surely, 2^{22022122011120} is an apocalyptic number.

22022122011120 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 22022122011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47694628776960).

22022122011120 is an abundant number, since it is smaller than the sum of its proper divisors (73367135542800).

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

22022122011120 is a wasteful number, since it uses less digits than its factorization.

22022122011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13915 (or 13900 counting only the distinct ones).

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

Adding to 22022122011120 its reverse (2111022122022), we get a palindrome (24133144133142).

The spelling of 22022122011120 in words is "twenty-two trillion, twenty-two billion, one hundred twenty-two million, eleven thousand, one hundred twenty".