122936 has 24 divisors (see below), whose sum is σ = 255360. Its totient is φ = 55440.

The previous prime is 122929. The next prime is 122939. The reversal of 122936 is 639221.

It is a super-2 number, since 2×122936² = 30226520192, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 905 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (10640).

2¹²²⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680).

122936 is an abundant number, since it is smaller than the sum of its proper divisors (132424).

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

122936 is a wasteful number, since it uses less digits than its factorization.

122936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 122936 is about 350.6223039112. The cubic root of 122936 is about 49.7232712495.

It can be divided in two parts, 1229 and 36, that multiplied together give a palindrome (44244).

The spelling of 122936 in words is "one hundred twenty-two thousand, nine hundred thirty-six".