123546879600 has 240 divisors, whose sum is σ = 405830176992. Its totient is φ = 32115732480.

The previous prime is 123546879571. The next prime is 123546879623. The reversal of 123546879600 is 6978645321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9979014 + ... + 9991386.

It is a 1-persistent number, because it is pandigital, but 2⋅123546879600 = 247093759200 is not.

Almost surely, 2^123546879600 is an apocalyptic number.

123546879600 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 123546879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202915088496).

123546879600 is an abundant number, since it is smaller than the sum of its proper divisors (282283297392).

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

123546879600 is a wasteful number, since it uses less digits than its factorization.

123546879600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 123546879600 in words is "one hundred twenty-three billion, five hundred forty-six million, eight hundred seventy-nine thousand, six hundred".