126166321344312 has 64 divisors (see below), whose sum is σ = 350703203508000. Its totient is φ = 42026496475392.

The previous prime is 126166321344293. The next prime is 126166321344337. The reversal of 126166321344312 is 213443123661621.

126166321344312 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 6 + 6 + 321 + 3 + 4 + 4 + 312 = 666.

126166321344312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200685237 + ... + 201312932.

Almost surely, 2^{126166321344312} is an apocalyptic number.

126166321344312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126166321344312 is an abundant number, since it is smaller than the sum of its proper divisors (224536882163688).

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

126166321344312 is a wasteful number, since it uses less digits than its factorization.

126166321344312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401999637 (or 401999627 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 126166321344312 in words is "one hundred twenty-six trillion, one hundred sixty-six billion, three hundred twenty-one million, three hundred forty-four thousand, three hundred twelve".