27120020200 has 144 divisors (see below), whose sum is σ = 78991155180. Its totient is φ = 8582999040.

The previous prime is 27120020197. The next prime is 27120020237. The reversal of 27120020200 is 202002172.

It can be written as a sum of positive squares in 6 ways, for example, as 6563916324 + 20556103876 = 81018^2 + 143374^2 .

It is an unprimeable number.

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, 20964 + ... + 233836.

Almost surely, 2^27120020200 is an apocalyptic number.

27120020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39495577590).

27120020200 is an abundant number, since it is smaller than the sum of its proper divisors (51871134980).

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

27120020200 is a wasteful number, since it uses less digits than its factorization.

27120020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212916 (or 212900 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

Adding to 27120020200 its reverse (202002172), we get a palindrome (27322022372).

The spelling of 27120020200 in words is "twenty-seven billion, one hundred twenty million, twenty thousand, two hundred".