12167447212100 has 144 divisors (see below), whose sum is σ = 27119197260288. Its totient is φ = 4736568744960.

The previous prime is 12167447212097. The next prime is 12167447212157. The reversal of 12167447212100 is 121274476121.

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 47 ways as a sum of consecutive naturals, for example, 1036138829 + ... + 1036150571.

It is an arithmetic number, because the mean of its divisors is an integer number (188327758752).

Almost surely, 2^{12167447212100} is an apocalyptic number.

12167447212100 is a gapful number since it is divisible by the number (10) 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 12167447212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559598630144).

12167447212100 is an abundant number, since it is smaller than the sum of its proper divisors (14951750048188).

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

12167447212100 is a wasteful number, since it uses less digits than its factorization.

12167447212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374 (or 13367 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 12167447212100 in words is "twelve trillion, one hundred sixty-seven billion, four hundred forty-seven million, two hundred twelve thousand, one hundred".