127627125120 has 1280 divisors, whose sum is σ = 534880558080. Its totient is φ = 28685352960.

The previous prime is 127627125107. The next prime is 127627125127. The reversal of 127627125120 is 21521726721.

127627125120 is a `hidden beast` number, since 1 + 2 + 7 + 627 + 1 + 2 + 5 + 1 + 20 = 666.

It is a super-3 number, since 3×127627125120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127627125127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 485274109 + ... + 485274371.

It is an arithmetic number, because the mean of its divisors is an integer number (417875436).

Almost surely, 2^127627125120 is an apocalyptic number.

127627125120 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 127627125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267440279040).

127627125120 is an abundant number, since it is smaller than the sum of its proper divisors (407253432960).

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

127627125120 is a wasteful number, since it uses less digits than its factorization.

127627125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 127627125120 in words is "one hundred twenty-seven billion, six hundred twenty-seven million, one hundred twenty-five thousand, one hundred twenty".