22112313120 has 240 divisors, whose sum is σ = 79854888960. Its totient is φ = 5759341056.

The previous prime is 22112313103. The next prime is 22112313149. The reversal of 22112313120 is 2131321122.

22112313120 is a `hidden beast` number, since 221 + 12 + 313 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 22112313093 and 22112313102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 537441 + ... + 577119.

It is an arithmetic number, because the mean of its divisors is an integer number (332728704).

Almost surely, 2^22112313120 is an apocalyptic number.

22112313120 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 22112313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39927444480).

22112313120 is an abundant number, since it is smaller than the sum of its proper divisors (57742575840).

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

22112313120 is a wasteful number, since it uses less digits than its factorization.

22112313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39749 (or 39732 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22112313120 its reverse (2131321122), we get a palindrome (24243634242).

The spelling of 22112313120 in words is "twenty-two billion, one hundred twelve million, three hundred thirteen thousand, one hundred twenty".