1200001204001 has 16 divisors (see below), whose sum is σ = 1245361474896. Its totient is φ = 1155325648896.

The previous prime is 1200001203979. The next prime is 1200001204007. The reversal of 1200001204001 is 1004021000021.

It can be written as a sum of positive squares in 8 ways, for example, as 394916723776 + 805084480225 = 628424^2 + 897265^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200001204001 - 2⁶ = 1200001203937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200001204007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22429655 + ... + 22483091.

It is an arithmetic number, because the mean of its divisors is an integer number (77835092181).

Almost surely, 2^{1200001204001} is an apocalyptic number.

It is an amenable number.

1200001204001 is a deficient number, since it is larger than the sum of its proper divisors (45360270895).

1200001204001 is an equidigital number, since it uses as much as digits as its factorization.

1200001204001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59828.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1200001204001 its reverse (1004021000021), we get a palindrome (2204022204022).

The spelling of 1200001204001 in words is "one trillion, two hundred billion, one million, two hundred four thousand, one".