123001032 has 128 divisors (see below), whose sum is σ = 387763200. Its totient is φ = 31584000.

The previous prime is 123001031. The next prime is 123001037. The reversal of 123001032 is 230100321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 123000999 and 123001017.

It is not an unprimeable number, because it can be changed into a prime (123001031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 186319 + ... + 186977.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^123001032 is an apocalyptic number.

123001032 is a gapful number since it is divisible by the number (12) 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 123001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881600).

123001032 is an abundant number, since it is smaller than the sum of its proper divisors (264762168).

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

123001032 is a wasteful number, since it uses less digits than its factorization.

123001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 123001032 is about 11090.5830324650. The cubic root of 123001032 is about 497.3203741988.

Adding to 123001032 its reverse (230100321), we get a palindrome (353101353).

The spelling of 123001032 in words is "one hundred twenty-three million, one thousand, thirty-two".