22312221120 has 672 divisors, whose sum is σ = 91864281600. Its totient is φ = 5049298944.

The previous prime is 22312221097. The next prime is 22312221131. The reversal of 22312221120 is 2112221322.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×22312221120³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 22312221093 and 22312221102.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 97433166 + ... + 97433394.

It is an arithmetic number, because the mean of its divisors is an integer number (136702800).

Almost surely, 2^22312221120 is an apocalyptic number.

22312221120 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 22312221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45932140800).

22312221120 is an abundant number, since it is smaller than the sum of its proper divisors (69552060480).

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

22312221120 is a wasteful number, since it uses less digits than its factorization.

22312221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

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

Adding to 22312221120 its reverse (2112221322), we get a palindrome (24424442442).

The spelling of 22312221120 in words is "twenty-two billion, three hundred twelve million, two hundred twenty-one thousand, one hundred twenty".