123001024 has 56 divisors (see below), whose sum is σ = 253268480. Its totient is φ = 59222016.

The previous prime is 123000989. The next prime is 123001031. The reversal of 123001024 is 420100321.

It is a junction number, because it is equal to n+sod(n) for n = 123000995 and 123001013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300532 + ... + 300940.

Almost surely, 2^123001024 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 123001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126634240).

123001024 is an abundant number, since it is smaller than the sum of its proper divisors (130267456).

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

123001024 is a wasteful number, since it uses less digits than its factorization.

123001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 123001024 is about 11090.5826717986. The cubic root of 123001024 is about 497.3203634169.

Adding to 123001024 its reverse (420100321), we get a palindrome (543101345).

The spelling of 123001024 in words is "one hundred twenty-three million, one thousand, twenty-four".