12278162688 has 432 divisors, whose sum is σ = 39036017664. Its totient is φ = 3395256320.

The previous prime is 12278162683. The next prime is 12278162707. The reversal of 12278162688 is 88626187221.

12278162688 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 (51).

It is a self number, because there is not a number n which added to its sum of digits gives 12278162688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12278162683) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 114749131 + ... + 114749237.

It is an arithmetic number, because the mean of its divisors is an integer number (90361152).

Almost surely, 2^12278162688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12278162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518008832).

12278162688 is an abundant number, since it is smaller than the sum of its proper divisors (26757854976).

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

12278162688 is a wasteful number, since it uses less digits than its factorization.

12278162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The spelling of 12278162688 in words is "twelve billion, two hundred seventy-eight million, one hundred sixty-two thousand, six hundred eighty-eight".