123305000 has 160 divisors (see below), whose sum is σ = 356885760. Its totient is φ = 38880000.

The previous prime is 123304963. The next prime is 123305009. The reversal of 123305000 is 503321.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123305009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 454865 + ... + 455135.

It is an arithmetic number, because the mean of its divisors is an integer number (2230536).

Almost surely, 2^123305000 is an apocalyptic number.

123305000 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 123305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178442880).

123305000 is an abundant number, since it is smaller than the sum of its proper divisors (233580760).

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

123305000 is a wasteful number, since it uses less digits than its factorization.

123305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 123305000 is about 11104.2784547219. The cubic root of 123305000 is about 497.7297071428.

Adding to 123305000 its reverse (503321), we get a palindrome (123808321).

The spelling of 123305000 in words is "one hundred twenty-three million, three hundred five thousand".