123201600 has 84 divisors (see below), whose sum is σ = 404219664. Its totient is φ = 32852480.

The previous prime is 123201581. The next prime is 123201607. The reversal of 123201600 is 6102321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123201600.

It is not an unprimeable number, because it can be changed into a prime (123201607) 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 11 ways as a sum of consecutive naturals, for example, 8034 + ... + 17633.

Almost surely, 2^123201600 is an apocalyptic number.

123201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123201600 is an abundant number, since it is smaller than the sum of its proper divisors (281018064).

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

123201600 is a wasteful number, since it uses less digits than its factorization.

123201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25692 (or 25677 counting only the distinct ones).

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

The square root of 123201600 is about 11099.6216151723. The cubic root of 123201600 is about 497.5905409988.

Adding to 123201600 its reverse (6102321), we get a palindrome (129303921).

The spelling of 123201600 in words is "one hundred twenty-three million, two hundred one thousand, six hundred".