144221000112 has 120 divisors (see below), whose sum is σ = 462601120800. Its totient is φ = 41087831040.

The previous prime is 144221000059. The next prime is 144221000177. The reversal of 144221000112 is 211000122441.

144221000112 is a `hidden beast` number, since 1 + 442 + 210 + 0 + 0 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146812 + ... + 556772.

It is an arithmetic number, because the mean of its divisors is an integer number (3855009340).

Almost surely, 2^144221000112 is an apocalyptic number.

144221000112 is a gapful number since it is divisible by the number (12) 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 144221000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231300560400).

144221000112 is an abundant number, since it is smaller than the sum of its proper divisors (318380120688).

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

144221000112 is a wasteful number, since it uses less digits than its factorization.

144221000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410331 (or 410322 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 144221000112 its reverse (211000122441), we get a palindrome (355221122553).

The spelling of 144221000112 in words is "one hundred forty-four billion, two hundred twenty-one million, one hundred twelve", and thus it is an aban number.