123201006 has 64 divisors (see below), whose sum is σ = 275374080. Its totient is φ = 36564480.

The previous prime is 123200999. The next prime is 123201011. The reversal of 123201006 is 600102321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148200 + ... + 149028.

It is an arithmetic number, because the mean of its divisors is an integer number (4302720).

Almost surely, 2^123201006 is an apocalyptic number.

123201006 is an abundant number, since it is smaller than the sum of its proper divisors (152173074).

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

123201006 is a wasteful number, since it uses less digits than its factorization.

123201006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 123201006 is about 11099.5948574712. The cubic root of 123201006 is about 497.5897413088.

Adding to 123201006 its reverse (600102321), we get a palindrome (723303327).

The spelling of 123201006 in words is "one hundred twenty-three million, two hundred one thousand, six".