12282837840 has 960 divisors, whose sum is σ = 54146534400. Its totient is φ = 2536095744.

The previous prime is 12282837829. The next prime is 12282837863. The reversal of 12282837840 is 4873828221.

12282837840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108697624 + ... + 108697736.

It is an arithmetic number, because the mean of its divisors is an integer number (56402640).

Almost surely, 2^12282837840 is an apocalyptic number.

12282837840 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 12282837840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27073267200).

12282837840 is an abundant number, since it is smaller than the sum of its proper divisors (41863696560).

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

12282837840 is a wasteful number, since it uses less digits than its factorization.

12282837840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12282837840 in words is "twelve billion, two hundred eighty-two million, eight hundred thirty-seven thousand, eight hundred forty".