123918865200 has 960 divisors, whose sum is σ = 492868454400. Its totient is φ = 29378764800.

The previous prime is 123918865183. The next prime is 123918865229. The reversal of 123918865200 is 2568819321.

123918865200 is a `hidden beast` number, since 1 + 2 + 39 + 18 + 86 + 520 + 0 = 666.

123918865200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 587293095 + ... + 587293305.

It is an arithmetic number, because the mean of its divisors is an integer number (513404640).

Almost surely, 2^123918865200 is an apocalyptic number.

123918865200 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 123918865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246434227200).

123918865200 is an abundant number, since it is smaller than the sum of its proper divisors (368949589200).

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

123918865200 is a wasteful number, since it uses less digits than its factorization.

123918865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 123918865200 in words is "one hundred twenty-three billion, nine hundred eighteen million, eight hundred sixty-five thousand, two hundred".