12178300704480 has 768 divisors, whose sum is σ = 43617885696000. Its totient is φ = 3172897308672.

The previous prime is 12178300704467. The next prime is 12178300704481. The reversal of 12178300704480 is 8440700387121.

12178300704480 is a `hidden beast` number, since 1 + 2 + 1 + 78 + 30 + 0 + 70 + 4 + 480 = 666.

12178300704480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12178300704480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12178300704481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18479970391 + ... + 18479971049.

It is an arithmetic number, because the mean of its divisors is an integer number (56794122000).

Almost surely, 2^{12178300704480} is an apocalyptic number.

12178300704480 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 12178300704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21808942848000).

12178300704480 is an abundant number, since it is smaller than the sum of its proper divisors (31439584991520).

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

12178300704480 is a wasteful number, since it uses less digits than its factorization.

12178300704480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12178300704480 in words is "twelve trillion, one hundred seventy-eight billion, three hundred million, seven hundred four thousand, four hundred eighty".