1205112096 has 72 divisors (see below), whose sum is σ = 3483269244. Its totient is φ = 395112960.

The previous prime is 1205112091. The next prime is 1205112113. The reversal of 1205112096 is 6902115021.

1205112096 is a `hidden beast` number, since 120 + 511 + 20 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 903603600 + 301508496 = 30060^2 + 17364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1205112091) 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 11 ways as a sum of consecutive naturals, for example, 16731 + ... + 51866.

Almost surely, 2^1205112096 is an apocalyptic number.

1205112096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1205112096 is an abundant number, since it is smaller than the sum of its proper divisors (2278157148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1205112096 is a wasteful number, since it uses less digits than its factorization.

1205112096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68674 (or 68663 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1205112096 is about 34714.7244839996. The cubic root of 1205112096 is about 1064.1654349203.

The spelling of 1205112096 in words is "one billion, two hundred five million, one hundred twelve thousand, ninety-six".