122736 has 20 divisors (see below), whose sum is σ = 317192. Its totient is φ = 40896.

The previous prime is 122719. The next prime is 122741. The reversal of 122736 is 637221.

It is a happy number.

122736 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

122736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1231 + ... + 1326.

2¹²²⁷³⁶ is an apocalyptic number.

122736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122736 is an abundant number, since it is smaller than the sum of its proper divisors (194456).

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

122736 is a wasteful number, since it uses less digits than its factorization.

122736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2562 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 122736 is about 350.3369806344. The cubic root of 122736 is about 49.6962923011.

Adding to 122736 its reverse (637221), we get a palindrome (759957).

It can be divided in two parts, 122 and 736, that added together give a palindrome (858).

The spelling of 122736 in words is "one hundred twenty-two thousand, seven hundred thirty-six".