144434300123120 has 320 divisors, whose sum is σ = 411322129698816. Its totient is φ = 46038196715520.

The previous prime is 144434300123093. The next prime is 144434300123159. The reversal of 144434300123120 is 21321003434441.

It is a super-2 number, since 2×144434300123120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6555946505 + ... + 6555968535.

Almost surely, 2^{144434300123120} is an apocalyptic number.

144434300123120 is a gapful number since it is divisible by the number (10) 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 144434300123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205661064849408).

144434300123120 is an abundant number, since it is smaller than the sum of its proper divisors (266887829575696).

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

144434300123120 is a wasteful number, since it uses less digits than its factorization.

144434300123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30448 (or 30442 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 144434300123120 its reverse (21321003434441), we get a palindrome (165755303557561).

The spelling of 144434300123120 in words is "one hundred forty-four trillion, four hundred thirty-four billion, three hundred million, one hundred twenty-three thousand, one hundred twenty".