12466278737120 has 192 divisors, whose sum is σ = 31862629048320. Its totient is φ = 4581828249600.

The previous prime is 12466278737083. The next prime is 12466278737221. The reversal of 12466278737120 is 2173787266421.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2182851065 + ... + 2182856775.

It is an arithmetic number, because the mean of its divisors is an integer number (165951192960).

Almost surely, 2^{12466278737120} is an apocalyptic number.

12466278737120 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 12466278737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15931314524160).

12466278737120 is an abundant number, since it is smaller than the sum of its proper divisors (19396350311200).

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

12466278737120 is a wasteful number, since it uses less digits than its factorization.

12466278737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10369 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 56.

The spelling of 12466278737120 in words is "twelve trillion, four hundred sixty-six billion, two hundred seventy-eight million, seven hundred thirty-seven thousand, one hundred twenty".