127161027200 has 96 divisors (see below), whose sum is σ = 315883800000. Its totient is φ = 50580024320.

The previous prime is 127161027067. The next prime is 127161027209. The reversal of 127161027200 is 2720161721.

It is not an unprimeable number, because it can be changed into a prime (127161027209) 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 11 ways as a sum of consecutive naturals, for example, 461801 + ... + 683799.

It is an arithmetic number, because the mean of its divisors is an integer number (3290456250).

Almost surely, 2^127161027200 is an apocalyptic number.

127161027200 is a gapful number since it is divisible by the number (10) 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 127161027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157941900000).

127161027200 is an abundant number, since it is smaller than the sum of its proper divisors (188722772800).

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

127161027200 is a wasteful number, since it uses less digits than its factorization.

127161027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222202 (or 222185 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

Adding to 127161027200 its reverse (2720161721), we get a palindrome (129881188921).

The spelling of 127161027200 in words is "one hundred twenty-seven billion, one hundred sixty-one million, twenty-seven thousand, two hundred".