224142121024 has 56 divisors (see below), whose sum is σ = 460897513560. Its totient is φ = 108023537664.

The previous prime is 224142120989. The next prime is 224142121039. The reversal of 224142121024 is 420121241422.

It can be written as a sum of positive squares in 4 ways, for example, as 96950031424 + 127192089600 = 311368^2 + 356640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224142121024.

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 7 ways as a sum of consecutive naturals, for example, 998782 + ... + 1202434.

Almost surely, 2^224142121024 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 224142121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230448756780).

224142121024 is an abundant number, since it is smaller than the sum of its proper divisors (236755392536).

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

224142121024 is a wasteful number, since it uses less digits than its factorization.

224142121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204287 (or 204277 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 224142121024 its reverse (420121241422), we get a palindrome (644263362446).

The spelling of 224142121024 in words is "two hundred twenty-four billion, one hundred forty-two million, one hundred twenty-one thousand, twenty-four".