144213221032122 has 128 divisors (see below), whose sum is σ = 318808296576000. Its totient is φ = 43124280192000.

The previous prime is 144213221032117. The next prime is 144213221032129. The reversal of 144213221032122 is 221230122312441.

It is a self number, because there is not a number n which added to its sum of digits gives 144213221032122.

It is not an unprimeable number, because it can be changed into a prime (144213221032129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26120848722 + ... + 26120854242.

It is an arithmetic number, because the mean of its divisors is an integer number (2490689817000).

Almost surely, 2^{144213221032122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144213221032122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159404148288000).

144213221032122 is an abundant number, since it is smaller than the sum of its proper divisors (174595075543878).

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

144213221032122 is a wasteful number, since it uses less digits than its factorization.

144213221032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144213221032122 its reverse (221230122312441), we get a palindrome (365443343344563).

The spelling of 144213221032122 in words is "one hundred forty-four trillion, two hundred thirteen billion, two hundred twenty-one million, thirty-two thousand, one hundred twenty-two".