12066410400 has 432 divisors, whose sum is σ = 44377597152. Its totient is φ = 2843596800.

The previous prime is 12066410387. The next prime is 12066410423. The reversal of 12066410400 is 401466021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10744239 + ... + 10745361.

Almost surely, 2^12066410400 is an apocalyptic number.

12066410400 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 12066410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22188798576).

12066410400 is an abundant number, since it is smaller than the sum of its proper divisors (32311186752).

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

12066410400 is a wasteful number, since it uses less digits than its factorization.

12066410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12066410400 its reverse (401466021), we get a palindrome (12467876421).

The spelling of 12066410400 in words is "twelve billion, sixty-six million, four hundred ten thousand, four hundred".