22354144221200 has 120 divisors (see below), whose sum is σ = 59462631037920. Its totient is φ = 8007454540800.

The previous prime is 22354144221191. The next prime is 22354144221203. The reversal of 22354144221200 is 212244145322.

It is not an unprimeable number, because it can be changed into a prime (22354144221203) by changing a digit.

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, 37619285 + ... + 38208884.

It is an arithmetic number, because the mean of its divisors is an integer number (495521925316).

Almost surely, 2^{22354144221200} is an apocalyptic number.

22354144221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22354144221200 is an abundant number, since it is smaller than the sum of its proper divisors (37108486816720).

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

22354144221200 is a wasteful number, since it uses less digits than its factorization.

22354144221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75828265 (or 75828254 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 22354144221200 its reverse (212244145322), we get a palindrome (22566388366522).

The spelling of 22354144221200 in words is "twenty-two trillion, three hundred fifty-four billion, one hundred forty-four million, two hundred twenty-one thousand, two hundred".