123003104400 has 360 divisors, whose sum is σ = 490171350240. Its totient is φ = 28249344000.

The previous prime is 123003104383. The next prime is 123003104431. The reversal of 123003104400 is 4401300321.

123003104400 is a `hidden beast` number, since 1 + 230 + 0 + 31 + 0 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 670660 + ... + 834140.

It is an arithmetic number, because the mean of its divisors is an integer number (1361587084).

Almost surely, 2^123003104400 is an apocalyptic number.

123003104400 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 123003104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245085675120).

123003104400 is an abundant number, since it is smaller than the sum of its proper divisors (367168245840).

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

123003104400 is a wasteful number, since it uses less digits than its factorization.

123003104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163535 (or 163521 counting only the distinct ones).

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

Adding to 123003104400 its reverse (4401300321), we get a palindrome (127404404721).

The spelling of 123003104400 in words is "one hundred twenty-three billion, three million, one hundred four thousand, four hundred".