123300400 has 60 divisors (see below), whose sum is σ = 297910000. Its totient is φ = 49040640.

The previous prime is 123300377. The next prime is 123300413. The reversal of 123300400 is 4003321.

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, 78826 + ... + 80374.

Almost surely, 2^123300400 is an apocalyptic number.

123300400 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 123300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148955000).

123300400 is an abundant number, since it is smaller than the sum of its proper divisors (174609600).

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

123300400 is a wasteful number, since it uses less digits than its factorization.

123300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 123300400 is about 11104.0713254193. The cubic root of 123300400 is about 497.7235176530.

Adding to 123300400 its reverse (4003321), we get a palindrome (127303721).

The spelling of 123300400 in words is "one hundred twenty-three million, three hundred thousand, four hundred".