12000078720 has 768 divisors, whose sum is σ = 50113889280. Its totient is φ = 2687385600.

The previous prime is 12000078689. The next prime is 12000078733. The reversal of 12000078720 is 2787000021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79470645 + ... + 79470795.

It is an arithmetic number, because the mean of its divisors is an integer number (65252460).

Almost surely, 2^12000078720 is an apocalyptic number.

12000078720 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 12000078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25056944640).

12000078720 is an abundant number, since it is smaller than the sum of its proper divisors (38113810560).

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

12000078720 is an equidigital number, since it uses as much as digits as its factorization.

12000078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 12000078720 its reverse (2787000021), we get a palindrome (14787078741).

The spelling of 12000078720 in words is "twelve billion, seventy-eight thousand, seven hundred twenty".