1205117016 has 64 divisors (see below), whose sum is σ = 3150489600. Its totient is φ = 384147104.

The previous prime is 1205117003. The next prime is 1205117071. The reversal of 1205117016 is 6107115021.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 289945 + ... + 294071.

It is an arithmetic number, because the mean of its divisors is an integer number (49226400).

Almost surely, 2^1205117016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205117016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575244800).

1205117016 is an abundant number, since it is smaller than the sum of its proper divisors (1945372584).

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

1205117016 is an equidigital number, since it uses as much as digits as its factorization.

1205117016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 1205117016 is about 34714.7953472291. The cubic root of 1205117016 is about 1064.1668831083.

The spelling of 1205117016 in words is "one billion, two hundred five million, one hundred seventeen thousand, sixteen".