122724 has 36 divisors (see below), whose sum is σ = 355264. Its totient is φ = 34992.

The previous prime is 122719. The next prime is 122741. The reversal of 122724 is 427221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×122724² = 30122360352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 122697 and 122706.

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 9 + ... + 495.

2¹²²⁷²⁴ is an apocalyptic number.

122724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177632).

122724 is an abundant number, since it is smaller than the sum of its proper divisors (232540).

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

122724 is a wasteful number, since it uses less digits than its factorization.

122724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 499 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 122724 is about 350.3198538479. The cubic root of 122724 is about 49.6946726325.

Subtracting from 122724 its product of digits (224), we obtain a square (122500 = 350²).

Adding to 122724 its reverse (427221), we get a palindrome (549945).

The spelling of 122724 in words is "one hundred twenty-two thousand, seven hundred twenty-four", and thus it is an iban number.