12414842880 has 192 divisors, whose sum is σ = 43329686400. Its totient is φ = 3009576960.

The previous prime is 12414842873. The next prime is 12414842897. The reversal of 12414842880 is 8824841421.

12414842880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 319551 + ... + 356289.

It is an arithmetic number, because the mean of its divisors is an integer number (225675450).

Almost surely, 2^12414842880 is an apocalyptic number.

12414842880 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 12414842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21664843200).

12414842880 is an abundant number, since it is smaller than the sum of its proper divisors (30914843520).

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

12414842880 is a wasteful number, since it uses less digits than its factorization.

12414842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36780 (or 36760 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 12414842880 in words is "twelve billion, four hundred fourteen million, eight hundred forty-two thousand, eight hundred eighty".