122624 has 18 divisors (see below), whose sum is σ = 245280. Its totient is φ = 61184.

The previous prime is 122611. The next prime is 122651. The reversal of 122624 is 426221.

Adding to 122624 its reverse (426221), we get a palindrome (548845).

122624 is an admirable number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17 + ... + 495.

2^{122624} 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 122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122640).

122624 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

122624 is an frugal number, since it uses more digits than its factorization.

122624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 122624 is about 350.1770980518. The cubic root of 122624 is about 49.6811712863.

The spelling of 122624 in words is "one hundred twenty-two thousand, six hundred twenty-four".

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