123364800 has 252 divisors, whose sum is σ = 472912440. Its totient is φ = 30320640.

The previous prime is 123364793. The next prime is 123364823. The reversal of 123364800 is 8463321.

It is a happy number.

123364800 is a `hidden beast` number, since 12 + 3 + 3 + 648 + 0 + 0 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 186871 + ... + 187529.

Almost surely, 2^123364800 is an apocalyptic number.

123364800 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 123364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236456220).

123364800 is an abundant number, since it is smaller than the sum of its proper divisors (349547640).

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

123364800 is a wasteful number, since it uses less digits than its factorization.

123364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 123364800 is about 11106.9707841517. The cubic root of 123364800 is about 497.8101565059.

The spelling of 123364800 in words is "one hundred twenty-three million, three hundred sixty-four thousand, eight hundred".