22001120221120 has 224 divisors, whose sum is σ = 55416282969600. Its totient is φ = 8306280038400.

The previous prime is 22001120221103. The next prime is 22001120221121. The reversal of 22001120221120 is 2112202110022.

It is a happy number.

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 = 22001120221094 and 22001120221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001120221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1793222346 + ... + 1793234614.

It is an arithmetic number, because the mean of its divisors is an integer number (247394120400).

Almost surely, 2^{22001120221120} is an apocalyptic number.

22001120221120 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 22001120221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27708141484800).

22001120221120 is an abundant number, since it is smaller than the sum of its proper divisors (33415162748480).

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

22001120221120 is a wasteful number, since it uses less digits than its factorization.

22001120221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16767 (or 16757 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22001120221120 its reverse (2112202110022), we get a palindrome (24113322331142).

The spelling of 22001120221120 in words is "twenty-two trillion, one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".