242224020203120 has 80 divisors (see below), whose sum is σ = 568066844936640. Its totient is φ = 96050136379392.

The previous prime is 242224020203119. The next prime is 242224020203147. The reversal of 242224020203120 is 21302020422242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×242224020203120³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 242224020203120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16830980 + ... + 27707939.

It is an arithmetic number, because the mean of its divisors is an integer number (7100835561708).

Almost surely, 2^{242224020203120} is an apocalyptic number.

242224020203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242224020203120 is an abundant number, since it is smaller than the sum of its proper divisors (325842824733520).

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

242224020203120 is a wasteful number, since it uses less digits than its factorization.

242224020203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44539522 (or 44539516 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 242224020203120 its reverse (21302020422242), we get a palindrome (263526040625362).

The spelling of 242224020203120 in words is "two hundred forty-two trillion, two hundred twenty-four billion, twenty million, two hundred three thousand, one hundred twenty".