1205225245311 has 16 divisors (see below), whose sum is σ = 1644374666880. Its totient is φ = 784780486560.

The previous prime is 1205225245309. The next prime is 1205225245333. The reversal of 1205225245311 is 1135425225021.

It is not a de Polignac number, because 1205225245311 - 2¹ = 1205225245309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205225240311) 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, 8564305 + ... + 8703893.

It is an arithmetic number, because the mean of its divisors is an integer number (102773416680).

Almost surely, 2^{1205225245311} is an apocalyptic number.

1205225245311 is a deficient number, since it is larger than the sum of its proper divisors (439149421569).

1205225245311 is a wasteful number, since it uses less digits than its factorization.

1205225245311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206566.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 1205225245311 in words is "one trillion, two hundred five billion, two hundred twenty-five million, two hundred forty-five thousand, three hundred eleven".