12408422400000 has 2280 divisors, whose sum is σ = 53523000214992. Its totient is φ = 2831155200000.

The previous prime is 12408422399987. The next prime is 12408422400037. The reversal of 12408422400000 is 422480421.

12408422400000 is a `hidden beast` number, since 12 + 408 + 4 + 2 + 240 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 729907199992 + ... + 729907200008.

Almost surely, 2^{12408422400000} is an apocalyptic number.

12408422400000 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 12408422400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26761500107496).

12408422400000 is an abundant number, since it is smaller than the sum of its proper divisors (41114577814992).

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

12408422400000 is an frugal number, since it uses more digits than its factorization.

12408422400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12408422400000 its reverse (422480421), we get a palindrome (12408844880421).

The spelling of 12408422400000 in words is "twelve trillion, four hundred eight billion, four hundred twenty-two million, four hundred thousand".