144241110100120 has 128 divisors (see below), whose sum is σ = 374884580505600. Its totient is φ = 49364366080000.

The previous prime is 144241110100099. The next prime is 144241110100151. The reversal of 144241110100120 is 21001011142441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144241110100091 and 144241110100100.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 247438995 + ... + 248021245.

It is an arithmetic number, because the mean of its divisors is an integer number (2928785785200).

Almost surely, 2^{144241110100120} is an apocalyptic number.

144241110100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144241110100120 is an abundant number, since it is smaller than the sum of its proper divisors (230643470405480).

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

144241110100120 is a wasteful number, since it uses less digits than its factorization.

144241110100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615409 (or 615405 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 144241110100120 its reverse (21001011142441), we get a palindrome (165242121242561).

The spelling of 144241110100120 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred ten million, one hundred thousand, one hundred twenty".