123057424 has 80 divisors (see below), whose sum is σ = 294624000. Its totient is φ = 49598976.

The previous prime is 123057397. The next prime is 123057479. The reversal of 123057424 is 424750321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 123057392 and 123057401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92637 + ... + 93955.

It is an arithmetic number, because the mean of its divisors is an integer number (3682800).

Almost surely, 2^123057424 is an apocalyptic number.

123057424 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 123057424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312000).

123057424 is an abundant number, since it is smaller than the sum of its proper divisors (171566576).

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

123057424 is a wasteful number, since it uses less digits than its factorization.

123057424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 123057424 is about 11093.1250781734. The cubic root of 123057424 is about 497.3963643627.

The spelling of 123057424 in words is "one hundred twenty-three million, fifty-seven thousand, four hundred twenty-four".