1205088272349 has 16 divisors (see below), whose sum is σ = 1730458273152. Its totient is φ = 741560591808.

The previous prime is 1205088272291. The next prime is 1205088272383. The reversal of 1205088272349 is 9432728805021.

It is not a de Polignac number, because 1205088272349 - 2⁸ = 1205088272093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205088272749) 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, 255507 + ... + 1573359.

It is an arithmetic number, because the mean of its divisors is an integer number (108153642072).

Almost surely, 2^{1205088272349} is an apocalyptic number.

It is an amenable number.

1205088272349 is a deficient number, since it is larger than the sum of its proper divisors (525370000803).

1205088272349 is a wasteful number, since it uses less digits than its factorization.

1205088272349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341316.

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 1205088272349 in words is "one trillion, two hundred five billion, eighty-eight million, two hundred seventy-two thousand, three hundred forty-nine".