123301000 has 64 divisors (see below), whose sum is σ = 305538480. Its totient is φ = 46412800.

The previous prime is 123300979. The next prime is 123301007. The reversal of 123301000 is 103321.

It can be written as a sum of positive squares in 8 ways, for example, as 23020804 + 100280196 = 4798^2 + 10014^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (123301007) 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 15 ways as a sum of consecutive naturals, for example, 13374 + ... + 20626.

Almost surely, 2^123301000 is an apocalyptic number.

123301000 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 123301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152769240).

123301000 is an abundant number, since it is smaller than the sum of its proper divisors (182237480).

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

123301000 is a wasteful number, since it uses less digits than its factorization.

123301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 123301000 is about 11104.0983425040. The cubic root of 123301000 is about 497.7243249865.

Adding to 123301000 its reverse (103321), we get a palindrome (123404321).

The spelling of 123301000 in words is "one hundred twenty-three million, three hundred one thousand".