123000200 has 48 divisors (see below), whose sum is σ = 287208180. Its totient is φ = 48988160.

The previous prime is 123000197. The next prime is 123000203. The reversal of 123000200 is 2000321.

It is an interprime number because it is at equal distance from previous prime (123000197) and next prime (123000203).

It can be written as a sum of positive squares in 6 ways, for example, as 45454564 + 77545636 = 6742^2 + 8806^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (123000203) 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, 50204 + ... + 52596.

Almost surely, 2^123000200 is an apocalyptic number.

123000200 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 123000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143604090).

123000200 is an abundant number, since it is smaller than the sum of its proper divisors (164207980).

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

123000200 is a wasteful number, since it uses less digits than its factorization.

123000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 123000200 is about 11090.5455231021. The cubic root of 123000200 is about 497.3192528763.

Adding to 123000200 its reverse (2000321), we get a palindrome (125000521).

The spelling of 123000200 in words is "one hundred twenty-three million, two hundred", and thus it is an aban number.