144103322311120 has 80 divisors (see below), whose sum is σ = 343768201208208. Its totient is φ = 56144298721280.

The previous prime is 144103322311087. The next prime is 144103322311133. The reversal of 144103322311120 is 21113223301441.

It can be written as a sum of positive squares in 8 ways, for example, as 21227250148416 + 122876072162704 = 4607304^2 + 11084948^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×144103322311120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33579109 + ... + 37626628.

Almost surely, 2^{144103322311120} is an apocalyptic number.

144103322311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144103322311120 is an abundant number, since it is smaller than the sum of its proper divisors (199664878897088).

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

144103322311120 is a wasteful number, since it uses less digits than its factorization.

144103322311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71206408 (or 71206402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 144103322311120 its reverse (21113223301441), we get a palindrome (165216545612561).

The spelling of 144103322311120 in words is "one hundred forty-four trillion, one hundred three billion, three hundred twenty-two million, three hundred eleven thousand, one hundred twenty".