122136 has 32 divisors (see below), whose sum is σ = 349440. Its totient is φ = 34848.

The previous prime is 122131. The next prime is 122147. The reversal of 122136 is 631221.

It is a nude number because it is divisible by every one of its digits.

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 122136.

It is not an unprimeable number, because it can be changed into a prime (122131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2¹²²¹³⁶ is an apocalyptic number.

It is an amenable number.

122136 is an abundant number, since it is smaller than the sum of its proper divisors (227304).

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

122136 is a wasteful number, since it uses less digits than its factorization.

122136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 122136 is about 349.4796131393. The cubic root of 122136 is about 49.6151791905.

Adding to 122136 its reverse (631221), we get a palindrome (753357).

It can be divided in two parts, 1221 and 36, that multiplied together give a triangular number (43956 = T₂₉₆).

The spelling of 122136 in words is "one hundred twenty-two thousand, one hundred thirty-six".