12278508768 has 120 divisors (see below), whose sum is σ = 37275860160. Its totient is φ = 3960783360.

The previous prime is 12278508733. The next prime is 12278508787. The reversal of 12278508768 is 86780587221.

12278508768 is a `hidden beast` number, since 1 + 2 + 2 + 78 + 508 + 7 + 68 = 666.

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

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 19 ways as a sum of consecutive naturals, for example, 3948 + ... + 156756.

It is an arithmetic number, because the mean of its divisors is an integer number (310632168).

Almost surely, 2^12278508768 is an apocalyptic number.

12278508768 is a gapful number since it is divisible by the number (18) 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 12278508768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18637930080).

12278508768 is an abundant number, since it is smaller than the sum of its proper divisors (24997351392).

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

12278508768 is a wasteful number, since it uses less digits than its factorization.

12278508768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152862 (or 152845 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 12278508768 in words is "twelve billion, two hundred seventy-eight million, five hundred eight thousand, seven hundred sixty-eight".