144242124440120 has 32 divisors (see below), whose sum is σ = 370908319989600. Its totient is φ = 49454442665088.

The previous prime is 144242124440053. The next prime is 144242124440129. The reversal of 144242124440120 is 21044421242441.

144242124440120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144242124440120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144242124440129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257575221935 + ... + 257575222494.

It is an arithmetic number, because the mean of its divisors is an integer number (11590884999675).

Almost surely, 2^{144242124440120} is an apocalyptic number.

144242124440120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144242124440120 is an abundant number, since it is smaller than the sum of its proper divisors (226666195549480).

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

144242124440120 is a wasteful number, since it uses less digits than its factorization.

144242124440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515150444447 (or 515150444443 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 35.

Adding to 144242124440120 its reverse (21044421242441), we get a palindrome (165286545682561).

The spelling of 144242124440120 in words is "one hundred forty-four trillion, two hundred forty-two billion, one hundred twenty-four million, four hundred forty thousand, one hundred twenty".