222351540424000 has 224 divisors, whose sum is σ = 593508965396256. Its totient is φ = 82030167244800.

The previous prime is 222351540423949. The next prime is 222351540424093. The reversal of 222351540424000 is 424045153222.

It can be written as a sum of positive squares in 16 ways, for example, as 191967897141504 + 30383643282496 = 13855248^2 + 5512136^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123175942 + ... + 124968058.

It is an arithmetic number, because the mean of its divisors is an integer number (2649593595519).

Almost surely, 2^{222351540424000} is an apocalyptic number.

222351540424000 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 222351540424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296754482698128).

222351540424000 is an abundant number, since it is smaller than the sum of its proper divisors (371157424972256).

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

222351540424000 is a wasteful number, since it uses less digits than its factorization.

222351540424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793350 (or 1793330 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 222351540424000 its reverse (424045153222), we get a palindrome (222775585577222).

The spelling of 222351540424000 in words is "two hundred twenty-two trillion, three hundred fifty-one billion, five hundred forty million, four hundred twenty-four thousand".