22123242240 has 288 divisors, whose sum is σ = 77662319616. Its totient is φ = 5322670080.

The previous prime is 22123242227. The next prime is 22123242241. The reversal of 22123242240 is 4224232122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22123242240.

It is not an unprimeable number, because it can be changed into a prime (22123242241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5784969 + ... + 5788791.

It is an arithmetic number, because the mean of its divisors is an integer number (269660832).

Almost surely, 2^22123242240 is an apocalyptic number.

22123242240 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 22123242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38831159808).

22123242240 is an abundant number, since it is smaller than the sum of its proper divisors (55539077376).

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

22123242240 is a wasteful number, since it uses less digits than its factorization.

22123242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22123242240 its reverse (4224232122), we get a palindrome (26347474362).

The spelling of 22123242240 in words is "twenty-two billion, one hundred twenty-three million, two hundred forty-two thousand, two hundred forty".