1200013072001 has 16 divisors (see below), whose sum is σ = 1206061019280. Its totient is φ = 1193984267520.

The previous prime is 1200013071989. The next prime is 1200013072021. The reversal of 1200013072001 is 1002703100021.

It can be written as a sum of positive squares in 8 ways, for example, as 3616819600 + 1196396252401 = 60140^2 + 1093799^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200013072001 - 2⁶ = 1200013071937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200013072021) 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 15 ways as a sum of consecutive naturals, for example, 445603211 + ... + 445605903.

It is an arithmetic number, because the mean of its divisors is an integer number (75378813705).

Almost surely, 2^{1200013072001} is an apocalyptic number.

It is an amenable number.

1200013072001 is a deficient number, since it is larger than the sum of its proper divisors (6047947279).

1200013072001 is a wasteful number, since it uses less digits than its factorization.

1200013072001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476.

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 1200013072001 its reverse (1002703100021), we get a palindrome (2202716172022).

The spelling of 1200013072001 in words is "one trillion, two hundred billion, thirteen million, seventy-two thousand, one".