12288000078 has 64 divisors (see below), whose sum is σ = 28975864320. Its totient is φ = 3846669696.

The previous prime is 12288000077. The next prime is 12288000119. The reversal of 12288000078 is 87000088221.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288000077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414375 + ... + 443037.

It is an arithmetic number, because the mean of its divisors is an integer number (452747880).

Almost surely, 2^12288000078 is an apocalyptic number.

12288000078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12288000078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487932160).

12288000078 is an abundant number, since it is smaller than the sum of its proper divisors (16687864242).

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

12288000078 is a wasteful number, since it uses less digits than its factorization.

12288000078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29158 (or 29152 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 12288000078 its reverse (87000088221), we get a palindrome (99288088299).

The spelling of 12288000078 in words is "twelve billion, two hundred eighty-eight million, seventy-eight", and thus it is an aban number.