144121110240200 has 96 divisors (see below), whose sum is σ = 337264011221760. Its totient is φ = 57274129440000.

The previous prime is 144121110240197. The next prime is 144121110240271. The reversal of 144121110240200 is 2042011121441.

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 23 ways as a sum of consecutive naturals, for example, 16313609 + ... + 23545191.

It is an arithmetic number, because the mean of its divisors is an integer number (3513166783560).

Almost surely, 2^{144121110240200} is an apocalyptic number.

144121110240200 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 144121110240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168632005610880).

144121110240200 is an abundant number, since it is smaller than the sum of its proper divisors (193142900981560).

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

144121110240200 is a wasteful number, since it uses less digits than its factorization.

144121110240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232247 (or 7232238 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 144121110240200 its reverse (2042011121441), we get a palindrome (146163121361641).

The spelling of 144121110240200 in words is "one hundred forty-four trillion, one hundred twenty-one billion, one hundred ten million, two hundred forty thousand, two hundred".