1205000082 has 72 divisors (see below), whose sum is σ = 3084211728. Its totient is φ = 337053600.

The previous prime is 1205000033. The next prime is 1205000087. The reversal of 1205000082 is 2800005021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1205000087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15457 + ... + 51467.

It is an arithmetic number, because the mean of its divisors is an integer number (42836274).

Almost surely, 2^1205000082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205000082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542105864).

1205000082 is an abundant number, since it is smaller than the sum of its proper divisors (1879211646).

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

1205000082 is a wasteful number, since it uses less digits than its factorization.

1205000082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36056 (or 36040 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1205000082 is about 34713.1110965295. Note that the first 3 decimals coincide. The cubic root of 1205000082 is about 1064.1324628505.

The spelling of 1205000082 in words is "one billion, two hundred five million, eighty-two", and thus it is an aban number.