123061305600 has 324 divisors, whose sum is σ = 441108486000. Its totient is φ = 32731607040.

The previous prime is 123061305569. The next prime is 123061305607. The reversal of 123061305600 is 6503160321.

123061305600 is a `hidden beast` number, since 1 + 23 + 0 + 6 + 1 + 30 + 5 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (123061305607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24131851 + ... + 24136949.

Almost surely, 2^123061305600 is an apocalyptic number.

123061305600 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 123061305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220554243000).

123061305600 is an abundant number, since it is smaller than the sum of its proper divisors (318047180400).

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

123061305600 is a wasteful number, since it uses less digits than its factorization.

123061305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 123061305600 its reverse (6503160321), we get a palindrome (129564465921).

The spelling of 123061305600 in words is "one hundred twenty-three billion, sixty-one million, three hundred five thousand, six hundred".