12027948768 has 192 divisors, whose sum is σ = 38900010240. Its totient is φ = 3584908800.

The previous prime is 12027948761. The next prime is 12027948799. The reversal of 12027948768 is 86784972021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12027948761) 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, 569371 + ... + 590117.

It is an arithmetic number, because the mean of its divisors is an integer number (202604220).

Almost surely, 2^12027948768 is an apocalyptic number.

12027948768 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 12027948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450005120).

12027948768 is an abundant number, since it is smaller than the sum of its proper divisors (26872061472).

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

12027948768 is a wasteful number, since it uses less digits than its factorization.

12027948768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20838 (or 20824 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12027948768 in words is "twelve billion, twenty-seven million, nine hundred forty-eight thousand, seven hundred sixty-eight".