123045200 has 60 divisors (see below), whose sum is σ = 305182848. Its totient is φ = 47625600.

The previous prime is 123045187. The next prime is 123045211. The reversal of 123045200 is 2540321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7439 + ... + 17361.

Almost surely, 2^123045200 is an apocalyptic number.

123045200 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 123045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152591424).

123045200 is an abundant number, since it is smaller than the sum of its proper divisors (182137648).

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

123045200 is a wasteful number, since it uses less digits than its factorization.

123045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 123045200 is about 11092.5740926081. The cubic root of 123045200 is about 497.3798940724.

Adding to 123045200 its reverse (2540321), we get a palindrome (125585521).

The spelling of 123045200 in words is "one hundred twenty-three million, forty-five thousand, two hundred".