122636 has 24 divisors (see below), whose sum is σ = 236544. Its totient is φ = 55440.

The previous prime is 122611. The next prime is 122651. The reversal of 122636 is 636221.

122636 = T₅₃ + T₅₄ + ... + T₉₅.

122636 is nontrivially palindromic in base 6.

122636 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

122636 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 7 ways as a sum of consecutive naturals, for example, 2831 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (9856).

2¹²²⁶³⁶ is an apocalyptic number.

It is an amenable number.

122636 is a deficient number, since it is larger than the sum of its proper divisors (113908).

122636 is a wasteful number, since it uses less digits than its factorization.

122636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 99 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 122636 is about 350.1942318200. The cubic root of 122636 is about 49.6827918353.

Adding to 122636 its reverse (636221), we get a palindrome (758857).

The spelling of 122636 in words is "one hundred twenty-two thousand, six hundred thirty-six".