144240124020001 has 15 divisors (see below), whose sum is σ = 145739811907651. Its totient is φ = 142755868046416.

The previous prime is 144240124019993. The next prime is 144240124020007. The reversal of 144240124020001 is 100020421042441.

It is a happy number.

The square root of 144240124020001 is 12010001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 130817572877601 + 13422551142400 = 11437551^2 + 3663680^2 .

It is not a de Polignac number, because 144240124020001 - 2³ = 144240124019993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144240124020007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 137502500925 + ... + 137502501973.

Almost surely, 2^{144240124020001} is an apocalyptic number.

144240124020001 is the 12010001-st square number.

144240124020001 is the 6005001-st centered octagonal number.

It is an amenable number.

144240124020001 is a deficient number, since it is larger than the sum of its proper divisors (1499687887650).

144240124020001 is an frugal number, since it uses more digits than its factorization.

144240124020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 144240124020001 its reverse (100020421042441), we get a palindrome (244260545062442).

The spelling of 144240124020001 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred twenty-four million, twenty thousand, one".