12412101554600 has 192 divisors, whose sum is σ = 31806664243200. Its totient is φ = 4466925440000.

The previous prime is 12412101554597. The next prime is 12412101554609. The reversal of 12412101554600 is 645510121421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12412101554609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597041006 + ... + 597061794.

It is an arithmetic number, because the mean of its divisors is an integer number (165659709600).

Almost surely, 2^{12412101554600} is an apocalyptic number.

12412101554600 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 12412101554600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903332121600).

12412101554600 is an abundant number, since it is smaller than the sum of its proper divisors (19394562688600).

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

12412101554600 is a wasteful number, since it uses less digits than its factorization.

12412101554600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23604 (or 23595 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 12412101554600 in words is "twelve trillion, four hundred twelve billion, one hundred one million, five hundred fifty-four thousand, six hundred".