12282114781440 has 1728 divisors, whose sum is σ = 53569152000000. Its totient is φ = 2534646546432.

The previous prime is 12282114781399. The next prime is 12282114781441. The reversal of 12282114781440 is 4418741128221.

12282114781440 is a `hidden beast` number, since 1 + 2 + 2 + 82 + 11 + 47 + 81 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12282114781441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3510176811 + ... + 3510180309.

Almost surely, 2^{12282114781440} is an apocalyptic number.

12282114781440 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 12282114781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784576000000).

12282114781440 is an abundant number, since it is smaller than the sum of its proper divisors (41287037218560).

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

12282114781440 is a wasteful number, since it uses less digits than its factorization.

12282114781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 12282114781440 in words is "twelve trillion, two hundred eighty-two billion, one hundred fourteen million, seven hundred eighty-one thousand, four hundred forty".