144332434121000 has 128 divisors (see below), whose sum is σ = 338191983885600. Its totient is φ = 57655398707200.

The previous prime is 144332434120997. The next prime is 144332434121059. The reversal of 144332434121000 is 121434233441.

It can be written as a sum of positive squares in 16 ways, for example, as 49890461169124 + 94441972951876 = 7063318^2 + 9718126^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2613885392 + ... + 2613940608.

Almost surely, 2^{144332434121000} is an apocalyptic number.

144332434121000 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 144332434121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169095991942800).

144332434121000 is an abundant number, since it is smaller than the sum of its proper divisors (193859549764600).

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

144332434121000 is a wasteful number, since it uses less digits than its factorization.

144332434121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58704 (or 58690 counting only the distinct ones).

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

Adding to 144332434121000 its reverse (121434233441), we get a palindrome (144453868354441).

The spelling of 144332434121000 in words is "one hundred forty-four trillion, three hundred thirty-two billion, four hundred thirty-four million, one hundred twenty-one thousand".