1205011333201 has 8 divisors (see below), whose sum is σ = 1297862710760. Its totient is φ = 1112182555392.

The previous prime is 1205011333157. The next prime is 1205011333219. The reversal of 1205011333201 is 1023331105021.

It can be written as a sum of positive squares in 4 ways, for example, as 617025600 + 1204394307601 = 24840^2 + 1097449^2 .

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 1205011333201 - 2²⁷ = 1204877115473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1205011333241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5539110 + ... + 5752543.

It is an arithmetic number, because the mean of its divisors is an integer number (162232838845).

Almost surely, 2^{1205011333201} is an apocalyptic number.

It is an amenable number.

1205011333201 is a deficient number, since it is larger than the sum of its proper divisors (92851377559).

1205011333201 is a wasteful number, since it uses less digits than its factorization.

1205011333201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11299875.

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 1205011333201 its reverse (1023331105021), we get a palindrome (2228342438222).

The spelling of 1205011333201 in words is "one trillion, two hundred five billion, eleven million, three hundred thirty-three thousand, two hundred one".