127020 has 48 divisors (see below), whose sum is σ = 372960. Its totient is φ = 32256.

The previous prime is 126989. The next prime is 127031. The reversal of 127020 is 20721.

127020 = 1² + 2² + ... + 72².

It is a super-2 number, since 2×127020² = 32268160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 126987 and 127005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1704 + ... + 1776.

It is an arithmetic number, because the mean of its divisors is an integer number (7770).

2¹²⁷⁰²⁰ is an apocalyptic number.

127020 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 127020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186480).

127020 is an abundant number, since it is smaller than the sum of its proper divisors (245940).

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

127020 is a wasteful number, since it uses less digits than its factorization.

127020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 127020 is about 356.3986531961. The cubic root of 127020 is about 50.2678954108.

127020 divided by its sum of digits (12) gives a triangular number (10585 = T₁₄₅).

Adding to 127020 its reverse (20721), we get a palindrome (147741).

The spelling of 127020 in words is "one hundred twenty-seven thousand, twenty", and thus it is an iban number.