122712 has 16 divisors (see below), whose sum is σ = 306840. Its totient is φ = 40896.

The previous prime is 122701. The next prime is 122719. The reversal of 122712 is 217221.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 122691 and 122700.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122712.

It is not an unprimeable number, because it can be changed into a prime (122719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2533 + ... + 2580.

2¹²²⁷¹² is an apocalyptic number.

122712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122712 is an abundant number, since it is smaller than the sum of its proper divisors (184128).

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

122712 is a wasteful number, since it uses less digits than its factorization.

122712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5118 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 122712 is about 350.3027262240. The cubic root of 122712 is about 49.6930528583.

Adding to 122712 its reverse (217221), we get a palindrome (339933).

It can be divided in two parts, 12271 and 2, that multiplied together give a palindrome (24542).

The spelling of 122712 in words is "one hundred twenty-two thousand, seven hundred twelve", and thus it is an iban number.