1181000205 has 288 divisors, whose sum is σ = 2842594560. Its totient is φ = 447068160.

The previous prime is 1181000201. The next prime is 1181000213. The reversal of 1181000205 is 5020001811.

It is not a de Polignac number, because 1181000205 - 2² = 1181000201 is a prime.

It is a super-2 number, since 2×1181000205² = 2789522968420084050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1181000201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16178049 + ... + 16178121.

It is an arithmetic number, because the mean of its divisors is an integer number (9870120).

Almost surely, 2^1181000205 is an apocalyptic number.

1181000205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1181000205 is an abundant number, since it is smaller than the sum of its proper divisors (1661594355).

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

1181000205 is a wasteful number, since it uses less digits than its factorization.

1181000205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1181000205 is about 34365.6835375058. The cubic root of 1181000205 is about 1057.0202911182.

The spelling of 1181000205 in words is "one billion, one hundred eighty-one million, two hundred five", and thus it is an aban number.