12178275348720 has 960 divisors, whose sum is σ = 44042666803200. Its totient is φ = 2772414627840.

The previous prime is 12178275348697. The next prime is 12178275348727. The reversal of 12178275348720 is 2784357287121.

12178275348720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12178275348727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11721149961 + ... + 11721150999.

It is an arithmetic number, because the mean of its divisors is an integer number (45877777920).

Almost surely, 2^{12178275348720} is an apocalyptic number.

12178275348720 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 12178275348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22021333401600).

12178275348720 is an abundant number, since it is smaller than the sum of its proper divisors (31864391454480).

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

12178275348720 is a wasteful number, since it uses less digits than its factorization.

12178275348720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 57.

The spelling of 12178275348720 in words is "twelve trillion, one hundred seventy-eight billion, two hundred seventy-five million, three hundred forty-eight thousand, seven hundred twenty".