22122211121120 has 192 divisors, whose sum is σ = 57172469760000. Its totient is φ = 8022239170560.

The previous prime is 22122211121093. The next prime is 22122211121161. The reversal of 22122211121120 is 2112111222122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22122211121092 and 22122211121101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607828801 + ... + 1607842559.

It is an arithmetic number, because the mean of its divisors is an integer number (297773280000).

Almost surely, 2^{22122211121120} is an apocalyptic number.

22122211121120 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 22122211121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28586234880000).

22122211121120 is an abundant number, since it is smaller than the sum of its proper divisors (35050258638880).

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

22122211121120 is a wasteful number, since it uses less digits than its factorization.

22122211121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16241 (or 16233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 22122211121120 its reverse (2112111222122), we get a palindrome (24234322343242).

The spelling of 22122211121120 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".