127008000 has 540 divisors, whose sum is σ = 549801252. Its totient is φ = 29030400.

The previous prime is 127007987. The next prime is 127008029. The reversal of 127008000 is 800721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 122943744 = 2016^2 + 11088^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×127008000² = 32262064128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 18143997 + ... + 18144003.

Almost surely, 2^127008000 is an apocalyptic number.

127008000 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 127008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274900626).

127008000 is an abundant number, since it is smaller than the sum of its proper divisors (422793252).

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

127008000 is an frugal number, since it uses more digits than its factorization.

127008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 127008000 is about 11269.7826065989. The cubic root of 127008000 is about 502.6631236944.

Adding to 127008000 its reverse (800721), we get a palindrome (127808721).

The spelling of 127008000 in words is "one hundred twenty-seven million, eight thousand".