144220012400200 has 192 divisors, whose sum is σ = 366566338252800. Its totient is φ = 52333048838400.

The previous prime is 144220012400137. The next prime is 144220012400209. The reversal of 144220012400200 is 2004210022441.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (144220012400209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3027327981 + ... + 3027375619.

It is an arithmetic number, because the mean of its divisors is an integer number (1909199678400).

Almost surely, 2^{144220012400200} is an apocalyptic number.

144220012400200 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 144220012400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183283169126400).

144220012400200 is an abundant number, since it is smaller than the sum of its proper divisors (222346325852600).

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

144220012400200 is a wasteful number, since it uses less digits than its factorization.

144220012400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50540 (or 50531 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 144220012400200 its reverse (2004210022441), we get a palindrome (146224222422641).

The spelling of 144220012400200 in words is "one hundred forty-four trillion, two hundred twenty billion, twelve million, four hundred thousand, two hundred".