127812 has 12 divisors (see below), whose sum is σ = 298256. Its totient is φ = 42600.

The previous prime is 127807. The next prime is 127817. The reversal of 127812 is 218721.

It is an interprime number because it is at equal distance from previous prime (127807) and next prime (127817).

It is a tau number, because it is divible by the number of its divisors (12).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (127817) by changing a digit.

127812 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5314 + ... + 5337.

2¹²⁷⁸¹² is an apocalyptic number.

127812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127812 is an abundant number, since it is smaller than the sum of its proper divisors (170444).

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

127812 is a wasteful number, since it uses less digits than its factorization.

127812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10656 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 127812 is about 357.5080418676. The cubic root of 127812 is about 50.3721564523.

Subtracting 127812 from its reverse (218721), we obtain a palindrome (90909).

It can be divided in two parts, 127 and 812, that added together give a palindrome (939).

The spelling of 127812 in words is "one hundred twenty-seven thousand, eight hundred twelve".