12408891606000 has 1280 divisors, whose sum is σ = 47657178316800. Its totient is φ = 3079544832000.

The previous prime is 12408891605917. The next prime is 12408891606053. The reversal of 12408891606000 is 60619880421.

12408891606000 is a `hidden beast` number, since 1 + 2 + 408 + 89 + 160 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21505877712 + ... + 21505878288.

It is an arithmetic number, because the mean of its divisors is an integer number (37232170560).

Almost surely, 2^{12408891606000} is an apocalyptic number.

12408891606000 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 12408891606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23828589158400).

12408891606000 is an abundant number, since it is smaller than the sum of its proper divisors (35248286710800).

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

12408891606000 is a wasteful number, since it uses less digits than its factorization.

12408891606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12408891606000 in words is "twelve trillion, four hundred eight billion, eight hundred ninety-one million, six hundred six thousand".