12167668160280 has 96 divisors (see below), whose sum is σ = 39605481124560. Its totient is φ = 3239742516480.

The previous prime is 12167668160257. The next prime is 12167668160303. The reversal of 12167668160280 is 8206186676121.

12167668160280 is a `hidden beast` number, since 1 + 21 + 6 + 7 + 6 + 6 + 8 + 1 + 602 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12167668160257) and next prime (12167668160303).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25644766 + ... + 26114925.

Almost surely, 2^{12167668160280} is an apocalyptic number.

12167668160280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12167668160280 is an abundant number, since it is smaller than the sum of its proper divisors (27437812964280).

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

12167668160280 is a wasteful number, since it uses less digits than its factorization.

12167668160280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51760361 (or 51760354 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12167668160280 in words is "twelve trillion, one hundred sixty-seven billion, six hundred sixty-eight million, one hundred sixty thousand, two hundred eighty".