127131120 has 200 divisors, whose sum is σ = 461282976. Its totient is φ = 32389632.

The previous prime is 127131113. The next prime is 127131131. The reversal of 127131120 is 21131721.

It is a happy number.

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 = 127131093 and 127131102.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 148614 + ... + 149466.

Almost surely, 2^127131120 is an apocalyptic number.

127131120 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 127131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230641488).

127131120 is an abundant number, since it is smaller than the sum of its proper divisors (334151856).

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

127131120 is a wasteful number, since it uses less digits than its factorization.

127131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 127131120 is about 11275.2436780763. The cubic root of 127131120 is about 502.8254963973.

Adding to 127131120 its reverse (21131721), we get a palindrome (148262841).

The spelling of 127131120 in words is "one hundred twenty-seven million, one hundred thirty-one thousand, one hundred twenty".