12168746272000 has 72 divisors (see below), whose sum is σ = 30313868136552. Its totient is φ = 4867498496000.

The previous prime is 12168746271991. The next prime is 12168746272009. The reversal of 12168746272000 is 27264786121.

It is an interprime number because it is at equal distance from previous prime (12168746271991) and next prime (12168746272009).

It can be written as a sum of positive squares in 4 ways, for example, as 91620025344 + 12077126246656 = 302688^2 + 3475216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12168746272009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190104661 + ... + 190168660.

It is an arithmetic number, because the mean of its divisors is an integer number (421025946341).

Almost surely, 2^{12168746272000} is an apocalyptic number.

12168746272000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12168746272000 is an abundant number, since it is smaller than the sum of its proper divisors (18145121864552).

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

12168746272000 is an frugal number, since it uses more digits than its factorization.

12168746272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380273352 (or 380273328 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 12168746272000 in words is "twelve trillion, one hundred sixty-eight billion, seven hundred forty-six million, two hundred seventy-two thousand".