123206400 has 432 divisors, whose sum is σ = 486635520. Its totient is φ = 30412800.

The previous prime is 123206389. The next prime is 123206401. The reversal of 123206400 is 4602321.

123206400 = T₃₁₂₇ + T₃₁₂₈ + ... + T₃₁₅₁.

It is a happy number.

123206400 is a `hidden beast` number, since 1 + 2 + 3 + 20 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123206401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3974385 + ... + 3974415.

Almost surely, 2^123206400 is an apocalyptic number.

123206400 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 123206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243317760).

123206400 is an abundant number, since it is smaller than the sum of its proper divisors (363429120).

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

123206400 is a wasteful number, since it uses less digits than its factorization.

123206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123206400 is about 11099.8378366533. The cubic root of 123206400 is about 497.5970030457.

Adding to 123206400 its reverse (4602321), we get a palindrome (127808721).

The spelling of 123206400 in words is "one hundred twenty-three million, two hundred six thousand, four hundred".