122768 has 10 divisors (see below), whose sum is σ = 237894. Its totient is φ = 61376.

The previous prime is 122761. The next prime is 122777. The reversal of 122768 is 867221.

It can be written as a sum of positive squares in only one way, i.e., 110224 + 12544 = 332^2 + 112^2 .

It is not an unprimeable number, because it can be changed into a prime (122761) by changing a digit.

122768 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 as a sum of consecutive naturals, namely, 3821 + ... + 3852.

2¹²²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

122768 is a deficient number, since it is larger than the sum of its proper divisors (115126).

122768 is an equidigital number, since it uses as much as digits as its factorization.

122768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681 (or 7675 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 122768 is about 350.3826479722. The cubic root of 122768 is about 49.7006109014.

Adding to 122768 its reverse (867221), we get a palindrome (989989).

It can be divided in two parts, 1227 and 68, that multiplied together give a triangular number (83436 = T₄₀₈).

The spelling of 122768 in words is "one hundred twenty-two thousand, seven hundred sixty-eight".