123921424 has 75 divisors (see below), whose sum is σ = 276088015. Its totient is φ = 53878880.

The previous prime is 123921403. The next prime is 123921443. The reversal of 123921424 is 424129321.

The square root of 123921424 is 11132.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (3456) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 123921392 and 123921401.

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 14 ways as a sum of consecutive naturals, for example, 5387877 + ... + 5387899.

Almost surely, 2^123921424 is an apocalyptic number.

123921424 is the 11132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123921424

123921424 is an abundant number, since it is smaller than the sum of its proper divisors (152166591).

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

123921424 is an frugal number, since it uses more digits than its factorization.

123921424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 36 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The cubic root of 123921424 is about 498.5577424531.

The spelling of 123921424 in words is "one hundred twenty-three million, nine hundred twenty-one thousand, four hundred twenty-four".