127007120 has 40 divisors (see below), whose sum is σ = 297570240. Its totient is φ = 50410880.

The previous prime is 127007057. The next prime is 127007147. The reversal of 127007120 is 21700721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×127007120² = 32261617061388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 127007092 and 127007101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4421 + ... + 16539.

It is an arithmetic number, because the mean of its divisors is an integer number (7439256).

Almost surely, 2^127007120 is an apocalyptic number.

127007120 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 127007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148785120).

127007120 is an abundant number, since it is smaller than the sum of its proper divisors (170563120).

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

127007120 is a wasteful number, since it uses less digits than its factorization.

127007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12263 (or 12257 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 127007120 is about 11269.7435640746. The cubic root of 127007120 is about 502.6619627582.

Adding to 127007120 its reverse (21700721), we get a palindrome (148707841).

The spelling of 127007120 in words is "one hundred twenty-seven million, seven thousand, one hundred twenty".