121144241322024 has 64 divisors (see below), whose sum is σ = 320732089655040. Its totient is φ = 37999380879360.

The previous prime is 121144241321963. The next prime is 121144241322029. The reversal of 121144241322024 is 420223142441121.

It is a happy number.

It is a super-3 number, since 3×121144241322024³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121144241322029) by changing a digit.

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, 23665549 + ... + 28325724.

It is an arithmetic number, because the mean of its divisors is an integer number (5011438900860).

Almost surely, 2^{121144241322024} is an apocalyptic number.

It is an amenable number.

121144241322024 is an abundant number, since it is smaller than the sum of its proper divisors (199587848333016).

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

121144241322024 is a wasteful number, since it uses less digits than its factorization.

121144241322024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51997010 (or 51997006 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 121144241322024 its reverse (420223142441121), we get a palindrome (541367383763145).

The spelling of 121144241322024 in words is "one hundred twenty-one trillion, one hundred forty-four billion, two hundred forty-one million, three hundred twenty-two thousand, twenty-four".