123921024 has 128 divisors (see below), whose sum is σ = 357799680. Its totient is φ = 37847040.

The previous prime is 123921023. The next prime is 123921047. The reversal of 123921024 is 420129321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 123920985 and 123921003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123921023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 267417 + ... + 267879.

It is an arithmetic number, because the mean of its divisors is an integer number (2795310).

Almost surely, 2^123921024 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 123921024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178899840).

123921024 is an abundant number, since it is smaller than the sum of its proper divisors (233878656).

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

123921024 is a wasteful number, since it uses less digits than its factorization.

123921024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 123921024 is about 11131.9820337620. The cubic root of 123921024 is about 498.5572060290.

The spelling of 123921024 in words is "one hundred twenty-three million, nine hundred twenty-one thousand, twenty-four".