22103022021120 has 960 divisors, whose sum is σ = 84439415174400. Its totient is φ = 5318395822080.

The previous prime is 22103022021109. The next prime is 22103022021149. The reversal of 22103022021120 is 2112022030122.

22103022021120 is a `hidden beast` number, since 2 + 210 + 3 + 0 + 220 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×22103022021120² (a number of 27 digits) contains 22 as substring.

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 = 22103022021093 and 22103022021102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2426499126 + ... + 2426508234.

It is an arithmetic number, because the mean of its divisors is an integer number (87957724140).

Almost surely, 2^{22103022021120} is an apocalyptic number.

22103022021120 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 22103022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42219707587200).

22103022021120 is an abundant number, since it is smaller than the sum of its proper divisors (62336393153280).

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

22103022021120 is a wasteful number, since it uses less digits than its factorization.

22103022021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9421 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22103022021120 its reverse (2112022030122), we get a palindrome (24215044051242).

The spelling of 22103022021120 in words is "twenty-two trillion, one hundred three billion, twenty-two million, twenty-one thousand, one hundred twenty".