12167280216 has 384 divisors, whose sum is σ = 42512870400. Its totient is φ = 3174474240.

The previous prime is 12167280197. The next prime is 12167280227. The reversal of 12167280216 is 61208276121.

12167280216 is a `hidden beast` number, since 1 + 2 + 167 + 280 + 216 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19282221 + ... + 19282851.

It is an arithmetic number, because the mean of its divisors is an integer number (110710600).

Almost surely, 2^12167280216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12167280216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21256435200).

12167280216 is an abundant number, since it is smaller than the sum of its proper divisors (30345590184).

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

12167280216 is a wasteful number, since it uses less digits than its factorization.

12167280216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12167280216 in words is "twelve billion, one hundred sixty-seven million, two hundred eighty thousand, two hundred sixteen".