127123020 has 84 divisors (see below), whose sum is σ = 400300320. Its totient is φ = 33895584.

The previous prime is 127123013. The next prime is 127123021. The reversal of 127123020 is 20321721.

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 = 127122984 and 127123002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127123021) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10221 + ... + 18939.

It is an arithmetic number, because the mean of its divisors is an integer number (4765480).

Almost surely, 2^127123020 is an apocalyptic number.

127123020 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 127123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200150160).

127123020 is an abundant number, since it is smaller than the sum of its proper divisors (273177300).

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

127123020 is an equidigital number, since it uses as much as digits as its factorization.

127123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8746 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 127123020 is about 11274.8844783439. The cubic root of 127123020 is about 502.8148172051.

Adding to 127123020 its reverse (20321721), we get a palindrome (147444741).

The spelling of 127123020 in words is "one hundred twenty-seven million, one hundred twenty-three thousand, twenty".