144420124200 has 384 divisors, whose sum is σ = 512315781120. Its totient is φ = 33337267200.

The previous prime is 144420124187. The next prime is 144420124213. The reversal of 144420124200 is 2421024441.

It is an interprime number because it is at equal distance from previous prime (144420124187) and next prime (144420124213).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11471109 + ... + 11483691.

It is an arithmetic number, because the mean of its divisors is an integer number (1334155680).

Almost surely, 2^144420124200 is an apocalyptic number.

144420124200 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 144420124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256157890560).

144420124200 is an abundant number, since it is smaller than the sum of its proper divisors (367895656920).

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

144420124200 is a wasteful number, since it uses less digits than its factorization.

144420124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12697 (or 12688 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144420124200 its reverse (2421024441), we get a palindrome (146841148641).

The spelling of 144420124200 in words is "one hundred forty-four billion, four hundred twenty million, one hundred twenty-four thousand, two hundred".