123206400000 has 1152 divisors, whose sum is σ = 491368550400. Its totient is φ = 30412800000.

The previous prime is 123206399971. The next prime is 123206400001. The reversal of 123206400000 is 4602321.

It is a happy number.

123206400000 is a `hidden beast` number, since 1 + 2 + 3 + 20 + 640 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (123206400001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3974399985 + ... + 3974400015.

It is an arithmetic number, because the mean of its divisors is an integer number (426535200).

Almost surely, 2^123206400000 is an apocalyptic number.

123206400000 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 123206400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245684275200).

123206400000 is an abundant number, since it is smaller than the sum of its proper divisors (368162150400).

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

123206400000 is an frugal number, since it uses more digits than its factorization.

123206400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

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

The spelling of 123206400000 in words is "one hundred twenty-three billion, two hundred six million, four hundred thousand".