12178777776000 has 2048 divisors, whose sum is σ = 47708504064000. Its totient is φ = 2739889152000.

The previous prime is 12178777775999. The next prime is 12178777776001. The reversal of 12178777776000 is 67777787121.

12178777776000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12178777775999) and next prime (12178777776001).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12178777776001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 95895887937 + ... + 95895888063.

It is an arithmetic number, because the mean of its divisors is an integer number (23295168000).

Almost surely, 2^{12178777776000} is an apocalyptic number.

12178777776000 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 12178777776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23854252032000).

12178777776000 is an abundant number, since it is smaller than the sum of its proper divisors (35529726288000).

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

12178777776000 is a wasteful number, since it uses less digits than its factorization.

12178777776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 11294304, while the sum is 60.

The spelling of 12178777776000 in words is "twelve trillion, one hundred seventy-eight billion, seven hundred seventy-seven million, seven hundred seventy-six thousand".