123313200 has 60 divisors (see below), whose sum is σ = 395017128. Its totient is φ = 32883200.

The previous prime is 123313187. The next prime is 123313213. The reversal of 123313200 is 2313321.

It is an interprime number because it is at equal distance from previous prime (123313187) and next prime (123313213).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×123313200² = 30412290588480000, which contains 22 as substring.

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 123313200.

It is an unprimeable number.

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, 50181 + ... + 52580.

Almost surely, 2^123313200 is an apocalyptic number.

123313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123313200 is an abundant number, since it is smaller than the sum of its proper divisors (271703928).

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

123313200 is a wasteful number, since it uses less digits than its factorization.

123313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102782 (or 102771 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 123313200 is about 11104.6476756356. The cubic root of 123313200 is about 497.7407401994.

Adding to 123313200 its reverse (2313321), we get a palindrome (125626521).

The spelling of 123313200 in words is "one hundred twenty-three million, three hundred thirteen thousand, two hundred".