144211224201000 has 512 divisors, whose sum is σ = 494703912568320. Its totient is φ = 34685561856000.

The previous prime is 144211224200999. The next prime is 144211224201017. The reversal of 144211224201000 is 102422112441.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9028429014 + ... + 9028444986.

It is an arithmetic number, because the mean of its divisors is an integer number (966218579235).

Almost surely, 2^{144211224201000} is an apocalyptic number.

144211224201000 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 144211224201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247351956284160).

144211224201000 is an abundant number, since it is smaller than the sum of its proper divisors (350492688367320).

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

144211224201000 is a wasteful number, since it uses less digits than its factorization.

144211224201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18142 (or 18128 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144211224201000 its reverse (102422112441), we get a palindrome (144313646313441).

The spelling of 144211224201000 in words is "one hundred forty-four trillion, two hundred eleven billion, two hundred twenty-four million, two hundred one thousand".