22224134400000 has 1152 divisors, whose sum is σ = 80292692188800. Its totient is φ = 5433753600000.

The previous prime is 22224134399981. The next prime is 22224134400011. The reversal of 22224134400000 is 443142222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67142399835 + ... + 67142400165.

It is an arithmetic number, because the mean of its divisors is an integer number (69698517525).

Almost surely, 2^{22224134400000} is an apocalyptic number.

22224134400000 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 22224134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40146346094400).

22224134400000 is an abundant number, since it is smaller than the sum of its proper divisors (58068557788800).

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

22224134400000 is an equidigital number, since it uses as much as digits as its factorization.

22224134400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 623 counting only the distinct ones).

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

Adding to 22224134400000 its reverse (443142222), we get a palindrome (22224577542222).

The spelling of 22224134400000 in words is "twenty-two trillion, two hundred twenty-four billion, one hundred thirty-four million, four hundred thousand".