127005120 has 336 divisors, whose sum is σ = 504017280. Its totient is φ = 29030400.

The previous prime is 127005097. The next prime is 127005143. The reversal of 127005120 is 21500721.

It is an interprime number because it is at equal distance from previous prime (127005097) and next prime (127005143).

It is a super-2 number, since 2×127005120² = 32260601012428800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 127005093 and 127005102.

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 47 ways as a sum of consecutive naturals, for example, 601815 + ... + 602025.

Almost surely, 2^127005120 is an apocalyptic number.

127005120 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 127005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252008640).

127005120 is an abundant number, since it is smaller than the sum of its proper divisors (377012160).

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

127005120 is a wasteful number, since it uses less digits than its factorization.

127005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 127005120 is about 11269.6548305616. The cubic root of 127005120 is about 502.6593242468.

Adding to 127005120 its reverse (21500721), we get a palindrome (148505841).

The spelling of 127005120 in words is "one hundred twenty-seven million, five thousand, one hundred twenty".