12078171273168 has 2560 divisors, whose sum is σ = 49976801280000. Its totient is φ = 2708187955200.

The previous prime is 12078171273163. The next prime is 12078171273269. The reversal of 12078171273168 is 86137217187021.

12078171273168 is a `hidden beast` number, since 1 + 207 + 8 + 1 + 7 + 1 + 273 + 168 = 666.

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 (12078171273163) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 86893318443 + ... + 86893318581.

It is an arithmetic number, because the mean of its divisors is an integer number (19522188000).

Almost surely, 2^{12078171273168} is an apocalyptic number.

12078171273168 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 12078171273168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988400640000).

12078171273168 is an abundant number, since it is smaller than the sum of its proper divisors (37898630006832).

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

12078171273168 is a wasteful number, since it uses less digits than its factorization.

12078171273168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 12078171273168 in words is "twelve trillion, seventy-eight billion, one hundred seventy-one million, two hundred seventy-three thousand, one hundred sixty-eight".