12066301561104 has 720 divisors, whose sum is σ = 42223096656000. Its totient is φ = 3146904649728.

The previous prime is 12066301561051. The next prime is 12066301561109. The reversal of 12066301561104 is 40116510366021.

12066301561104 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 6 + 30 + 1 + 5 + 611 + 0 + 4 = 666.

12066301561104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12066301561109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7102001247 + ... + 7102002945.

It is an arithmetic number, because the mean of its divisors is an integer number (58643189800).

Almost surely, 2^{12066301561104} is an apocalyptic number.

12066301561104 is a gapful number since it is divisible by the number (14) 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 12066301561104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21111548328000).

12066301561104 is an abundant number, since it is smaller than the sum of its proper divisors (30156795094896).

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

12066301561104 is a wasteful number, since it uses less digits than its factorization.

12066301561104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12066301561104 in words is "twelve trillion, sixty-six billion, three hundred one million, five hundred sixty-one thousand, one hundred four".