22120144512 has 64 divisors (see below), whose sum is σ = 59000684160. Its totient is φ = 7342755840.

The previous prime is 22120144493. The next prime is 22120144513. The reversal of 22120144512 is 21544102122.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (22120144513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26968 + ... + 212055.

It is an arithmetic number, because the mean of its divisors is an integer number (921885690).

Almost surely, 2^22120144512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29500342080).

22120144512 is an abundant number, since it is smaller than the sum of its proper divisors (36880539648).

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

22120144512 is a wasteful number, since it uses less digits than its factorization.

22120144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239281 (or 239269 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 22120144512 its reverse (21544102122), we get a palindrome (43664246634).

The spelling of 22120144512 in words is "twenty-two billion, one hundred twenty million, one hundred forty-four thousand, five hundred twelve".