12005412405001 has 8 divisors (see below), whose sum is σ = 12009245784584. Its totient is φ = 12001579349760.

The previous prime is 12005412404989. The next prime is 12005412405011. The reversal of 12005412405001 is 10050421450021.

It can be written as a sum of positive squares in 4 ways, for example, as 2903871605625 + 9101540799376 = 1704075^2 + 3016876^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12005412405001 - 2⁵ = 12005412404969 is a prime.

It is a super-4 number, since 4×12005412405001⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12005412405011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89330011 + ... + 89464303.

It is an arithmetic number, because the mean of its divisors is an integer number (1501155723073).

Almost surely, 2^{12005412405001} is an apocalyptic number.

It is an amenable number.

12005412405001 is a deficient number, since it is larger than the sum of its proper divisors (3833379583).

12005412405001 is a wasteful number, since it uses less digits than its factorization.

12005412405001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162171.

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 12005412405001 its reverse (10050421450021), we get a palindrome (22055833855022).

The spelling of 12005412405001 in words is "twelve trillion, five billion, four hundred twelve million, four hundred five thousand, one".