22242440434120 has 256 divisors, whose sum is σ = 53496653414400. Its totient is φ = 8307847296000.

The previous prime is 22242440434079. The next prime is 22242440434121. The reversal of 22242440434120 is 2143404424222.

It is not an unprimeable number, because it can be changed into a prime (22242440434121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9381036535 + ... + 9381038905.

It is an arithmetic number, because the mean of its divisors is an integer number (208971302400).

Almost surely, 2^{22242440434120} is an apocalyptic number.

22242440434120 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 22242440434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26748326707200).

22242440434120 is an abundant number, since it is smaller than the sum of its proper divisors (31254212980280).

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

22242440434120 is a wasteful number, since it uses less digits than its factorization.

22242440434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 22242440434120 its reverse (2143404424222), we get a palindrome (24385844858342).

The spelling of 22242440434120 in words is "twenty-two trillion, two hundred forty-two billion, four hundred forty million, four hundred thirty-four thousand, one hundred twenty".