12065433600000 has 1440 divisors, whose sum is σ = 45289287050112. Its totient is φ = 2831155200000.

The previous prime is 12065433599981. The next prime is 12065433600109. The reversal of 12065433600000 is 633456021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62515199904 + ... + 62515200096.

Almost surely, 2^{12065433600000} is an apocalyptic number.

12065433600000 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 12065433600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644643525056).

12065433600000 is an abundant number, since it is smaller than the sum of its proper divisors (33223853450112).

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

12065433600000 is an frugal number, since it uses more digits than its factorization.

12065433600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 12065433600000 in words is "twelve trillion, sixty-five billion, four hundred thirty-three million, six hundred thousand".