2012041344001 has 8 divisors (see below), whose sum is σ = 2172111593960. Its totient is φ = 1852727928192.

The previous prime is 2012041343989. The next prime is 2012041344011. The reversal of 2012041344001 is 1004431402102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86996092401 + 1925045251600 = 294951^2 + 1387460^2 .

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 2012041344001 - 2²⁹ = 2011504473089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012041344011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 189203010 + ... + 189213643.

It is an arithmetic number, because the mean of its divisors is an integer number (271513949245).

Almost surely, 2^{2012041344001} is an apocalyptic number.

It is an amenable number.

2012041344001 is a deficient number, since it is larger than the sum of its proper divisors (160070249959).

2012041344001 is a wasteful number, since it uses less digits than its factorization.

2012041344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378417075.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2012041344001 its reverse (1004431402102), we get a palindrome (3016472746103).

The spelling of 2012041344001 in words is "two trillion, twelve billion, forty-one million, three hundred forty-four thousand, one".