123032000 has 224 divisors, whose sum is σ = 377220480. Its totient is φ = 38937600.

The previous prime is 123031981. The next prime is 123032017. The reversal of 123032000 is 230321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9463994 + ... + 9464006.

It is an arithmetic number, because the mean of its divisors is an integer number (1684020).

Almost surely, 2^123032000 is an apocalyptic number.

123032000 is a gapful number since it is divisible by the number (10) 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 123032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188610240).

123032000 is an abundant number, since it is smaller than the sum of its proper divisors (254188480).

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

123032000 is an frugal number, since it uses more digits than its factorization.

123032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 123032000 is about 11091.9790840048. The cubic root of 123032000 is about 497.3621075208.

Adding to 123032000 its reverse (230321), we get a palindrome (123262321).

The spelling of 123032000 in words is "one hundred twenty-three million, thirty-two thousand".