22112012101120 has 320 divisors, whose sum is σ = 55330343006400. Its totient is φ = 8467961610240.

The previous prime is 22112012101099. The next prime is 22112012101211. The reversal of 22112012101120 is 2110121021122.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22112012101094 and 22112012101103.

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, 1891688236 + ... + 1891699924.

It is an arithmetic number, because the mean of its divisors is an integer number (172907321895).

Almost surely, 2^{22112012101120} is an apocalyptic number.

22112012101120 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 22112012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27665171503200).

22112012101120 is an abundant number, since it is smaller than the sum of its proper divisors (33218330905280).

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

22112012101120 is a wasteful number, since it uses less digits than its factorization.

22112012101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22112012101120 its reverse (2110121021122), we get a palindrome (24222133122242).

The spelling of 22112012101120 in words is "twenty-two trillion, one hundred twelve billion, twelve million, one hundred one thousand, one hundred twenty".