201186312080 has 80 divisors (see below), whose sum is σ = 525641356800. Its totient is φ = 71054421504.

The previous prime is 201186312077. The next prime is 201186312083. The reversal of 201186312080 is 80213681102.

It is an interprime number because it is at equal distance from previous prime (201186312077) and next prime (201186312083).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (201186312083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4181480 + ... + 4229319.

It is an arithmetic number, because the mean of its divisors is an integer number (6570516960).

Almost surely, 2^201186312080 is an apocalyptic number.

201186312080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201186312080 is an abundant number, since it is smaller than the sum of its proper divisors (324455044720).

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

201186312080 is a wasteful number, since it uses less digits than its factorization.

201186312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410848 (or 8410842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

Adding to 201186312080 its reverse (80213681102), we get a palindrome (281399993182).

The spelling of 201186312080 in words is "two hundred one billion, one hundred eighty-six million, three hundred twelve thousand, eighty".