12387821406912 has 280 divisors, whose sum is σ = 42060819002400. Its totient is φ = 3531490099200.

The previous prime is 12387821406911. The next prime is 12387821406937. The reversal of 12387821406912 is 21960412878321.

12387821406912 is a `hidden beast` number, since 123 + 8 + 7 + 8 + 21 + 406 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12387821406911) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15913162 + ... + 16673462.

Almost surely, 2^{12387821406912} is an apocalyptic number.

12387821406912 is a gapful number since it is divisible by the number (12) 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 12387821406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21030409501200).

12387821406912 is an abundant number, since it is smaller than the sum of its proper divisors (29672997595488).

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

12387821406912 is an equidigital number, since it uses as much as digits as its factorization.

12387821406912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760781 (or 760762 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12387821406912 in words is "twelve trillion, three hundred eighty-seven billion, eight hundred twenty-one million, four hundred six thousand, nine hundred twelve".