12406238018001 has 45 divisors (see below), whose sum is σ = 18624956019681. Its totient is φ = 8229889767456.

The previous prime is 12406238017991. The next prime is 12406238018051. The reversal of 12406238018001 is 10081083260421.

The square root of 12406238018001 is 3522249.

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

12406238018001 is a `hidden beast` number, since 1 + 2 + 40 + 62 + 380 + 180 + 0 + 1 = 666.

12406238018001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 412483778001 + 11993754240000 = 642249^2 + 3463200^2 .

It is not a de Polignac number, because 12406238018001 - 2¹⁵ = 12406237985233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12406238018051) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7259354335 + ... + 7259356043.

Almost surely, 2^{12406238018001} is an apocalyptic number.

12406238018001 is the 3522249-th square number.

12406238018001 is the 1761125-th centered octagonal number.

It is an amenable number.

12406238018001 is a deficient number, since it is larger than the sum of its proper divisors (6218718001680).

12406238018001 is an frugal number, since it uses more digits than its factorization.

12406238018001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 12406238018001 by its sum of digits (36), we get a square (446624568648036 = 21133494²).

The spelling of 12406238018001 in words is "twelve trillion, four hundred six billion, two hundred thirty-eight million, eighteen thousand, one".