1205211168 has 72 divisors (see below), whose sum is σ = 3916942848. Its totient is φ = 344345472.

The previous prime is 1205211167. The next prime is 1205211187. The reversal of 1205211168 is 8611125021.

1205211168 is a `hidden beast` number, since 1 + 20 + 521 + 116 + 8 = 666.

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 (1205211167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296896 + ... + 300927.

It is an arithmetic number, because the mean of its divisors is an integer number (54401984).

Almost surely, 2^1205211168 is an apocalyptic number.

1205211168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1205211168 is an abundant number, since it is smaller than the sum of its proper divisors (2711731680).

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

1205211168 is a wasteful number, since it uses less digits than its factorization.

1205211168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597846 (or 597835 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1205211168 is about 34716.1513996007. The cubic root of 1205211168 is about 1064.1945957232.

Adding to 1205211168 its reverse (8611125021), we get a palindrome (9816336189).

It can be divided in two parts, 12052 and 11168, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 1205211168 in words is "one billion, two hundred five million, two hundred eleven thousand, one hundred sixty-eight".