12486950784000 has 4224 divisors, whose sum is σ = 61213645209600. Its totient is φ = 2368880640000.

The previous prime is 12486950783999. The next prime is 12486950784013. The reversal of 12486950784000 is 48705968421.

It is a happy number.

12486950784000 is a `hidden beast` number, since 1 + 2 + 4 + 86 + 95 + 0 + 78 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52246655881 + ... + 52246656119.

Almost surely, 2^{12486950784000} is an apocalyptic number.

12486950784000 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 12486950784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30606822604800).

12486950784000 is an abundant number, since it is smaller than the sum of its proper divisors (48726694425600).

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

12486950784000 is a wasteful number, since it uses less digits than its factorization.

12486950784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12486950784000 in words is "twelve trillion, four hundred eighty-six billion, nine hundred fifty million, seven hundred eighty-four thousand".