127008000000000 has 2250 divisors, whose sum is σ = 551743105122594. Its totient is φ = 29030400000000.

The previous prime is 127007999999999. The next prime is 127008000000059. The reversal of 127008000000000 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 5 ways, for example, as 33523544162304 + 93484455837696 = 5789952^2 + 9668736^2 .

It is a tau number, because it is divible by the number of its divisors (2250).

It is a super-2 number, since 2×127008000000000² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 127008000000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 18143999999997 + ... + 18144000000003.

Almost surely, 2^{127008000000000} is an apocalyptic number.

127008000000000 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 127008000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275871552561297).

127008000000000 is an abundant number, since it is smaller than the sum of its proper divisors (424735105122594).

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

127008000000000 is an frugal number, since it uses more digits than its factorization.

127008000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 17 counting only the distinct ones).

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

Adding to 127008000000000 its reverse (800721), we get a palindrome (127008000800721).

The spelling of 127008000000000 in words is "one hundred twenty-seven trillion, eight billion", and thus it is an aban number.