123059865600 has 1152 divisors, whose sum is σ = 526303814400. Its totient is φ = 27948810240.

The previous prime is 123059865563. The next prime is 123059865653. The reversal of 123059865600 is 6568950321.

123059865600 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 5 + 9 + 86 + 560 + 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 (45).

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 95 ways as a sum of consecutive naturals, for example, 783820722 + ... + 783820878.

It is an arithmetic number, because the mean of its divisors is an integer number (456860950).

Almost surely, 2^123059865600 is an apocalyptic number.

123059865600 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 123059865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263151907200).

123059865600 is an abundant number, since it is smaller than the sum of its proper divisors (403243948800).

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

123059865600 is an frugal number, since it uses more digits than its factorization.

123059865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 123059865600 in words is "one hundred twenty-three billion, fifty-nine million, eight hundred sixty-five thousand, six hundred".