12144260401 has 45 divisors (see below), whose sum is σ = 15430286049. Its totient is φ = 9553104288.

The previous prime is 12144260357. The next prime is 12144260461. The reversal of 12144260401 is 10406244121.

The square root of 12144260401 is 110201.

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

It can be written as a sum of positive squares in 4 ways, for example, as 97002801 + 12047257600 = 9849^2 + 109760^2 .

It is not a de Polignac number, because 12144260401 - 2¹¹ = 12144258353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12144260461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 70197951 + ... + 70198123.

Almost surely, 2^12144260401 is an apocalyptic number.

12144260401 is the 110201-st square number.

12144260401 is the 55101-st centered octagonal number.

It is an amenable number.

12144260401 is a deficient number, since it is larger than the sum of its proper divisors (3286025648).

12144260401 is an frugal number, since it uses more digits than its factorization.

12144260401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Multiplying 12144260401 by its sum of digits (25), we get a square (303606510025 = 551005²).

The spelling of 12144260401 in words is "twelve billion, one hundred forty-four million, two hundred sixty thousand, four hundred one".