12178115896320 has 2112 divisors, whose sum is σ = 49480416760320. Its totient is φ = 2763396218880.

The previous prime is 12178115896249. The next prime is 12178115896363. The reversal of 12178115896320 is 2369851187121.

12178115896320 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 81 + 158 + 96 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125547586512 + ... + 125547586608.

Almost surely, 2^{12178115896320} is an apocalyptic number.

12178115896320 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 12178115896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24740208380160).

12178115896320 is an abundant number, since it is smaller than the sum of its proper divisors (37302300864000).

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

12178115896320 is a wasteful number, since it uses less digits than its factorization.

12178115896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 12178115896320 in words is "twelve trillion, one hundred seventy-eight billion, one hundred fifteen million, eight hundred ninety-six thousand, three hundred twenty".