12411705600 has 864 divisors, whose sum is σ = 53854330880. Its totient is φ = 2737152000.

The previous prime is 12411705589. The next prime is 12411705601. The reversal of 12411705600 is 650711421.

It is a happy number.

12411705600 is a `hidden beast` number, since 1 + 2 + 41 + 17 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12411705601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37497435 + ... + 37497765.

Almost surely, 2^12411705600 is an apocalyptic number.

12411705600 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 12411705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26927165440).

12411705600 is an abundant number, since it is smaller than the sum of its proper divisors (41442625280).

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

12411705600 is a wasteful number, since it uses less digits than its factorization.

12411705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 12411705600 in words is "twelve billion, four hundred eleven million, seven hundred five thousand, six hundred".