123001305 has 32 divisors (see below), whose sum is σ = 225504000. Its totient is φ = 56082432.

The previous prime is 123001301. The next prime is 123001313. The reversal of 123001305 is 503100321.

It is a happy number.

It is not a de Polignac number, because 123001305 - 2² = 123001301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (123001301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45841 + ... + 48449.

It is an arithmetic number, because the mean of its divisors is an integer number (7047000).

Almost surely, 2^123001305 is an apocalyptic number.

123001305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123001305 is a deficient number, since it is larger than the sum of its proper divisors (102502695).

123001305 is a wasteful number, since it uses less digits than its factorization.

123001305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 123001305 is about 11090.5953401970. The cubic root of 123001305 is about 497.3207421317.

Adding to 123001305 its reverse (503100321), we get a palindrome (626101626).

The spelling of 123001305 in words is "one hundred twenty-three million, one thousand, three hundred five".