12212076166416 has 960 divisors, whose sum is σ = 43736134041600. Its totient is φ = 3101986492416.

The previous prime is 12212076166393. The next prime is 12212076166447. The reversal of 12212076166416 is 61466167021221.

12212076166416 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 0 + 76 + 166 + 416 = 666.

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, 5325806166 + ... + 5325808458.

It is an arithmetic number, because the mean of its divisors is an integer number (45558472960).

Almost surely, 2^{12212076166416} is an apocalyptic number.

12212076166416 is a gapful number since it is divisible by the number (16) 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 12212076166416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21868067020800).

12212076166416 is an abundant number, since it is smaller than the sum of its proper divisors (31524057875184).

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

12212076166416 is a wasteful number, since it uses less digits than its factorization.

12212076166416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12212076166416 in words is "twelve trillion, two hundred twelve billion, seventy-six million, one hundred sixty-six thousand, four hundred sixteen".