22123101140 has 72 divisors (see below), whose sum is σ = 54784075752. Its totient is φ = 7481134080.

The previous prime is 22123101097. The next prime is 22123101157. The reversal of 22123101140 is 4110132122.

It can be written as a sum of positive squares in 4 ways, for example, as 2085566224 + 20037534916 = 45668^2 + 141554^2 .

It is a super-4 number, since 4×22123101140⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 83081 + ... + 226160.

It is an arithmetic number, because the mean of its divisors is an integer number (760889941).

Almost surely, 2^22123101140 is an apocalyptic number.

22123101140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22123101140 is an abundant number, since it is smaller than the sum of its proper divisors (32660974612).

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

22123101140 is a wasteful number, since it uses less digits than its factorization.

22123101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309337 (or 309328 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22123101140 its reverse (4110132122), we get a palindrome (26233233262).

The spelling of 22123101140 in words is "twenty-two billion, one hundred twenty-three million, one hundred one thousand, one hundred forty".