12567209398272 has 520 divisors, whose sum is σ = 38108709541056. Its totient is φ = 4143303622656.

The previous prime is 12567209398259. The next prime is 12567209398279. The reversal of 12567209398272 is 27289390276521.

12567209398272 is a `hidden beast` number, since 1 + 256 + 7 + 20 + 9 + 3 + 98 + 272 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12567209398279) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7820291293 + ... + 7820292899.

Almost surely, 2^{12567209398272} is an apocalyptic number.

12567209398272 is a gapful number since it is divisible by the number (12) 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 12567209398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19054354770528).

12567209398272 is an abundant number, since it is smaller than the sum of its proper divisors (25541500142784).

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

12567209398272 is an frugal number, since it uses more digits than its factorization.

12567209398272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 12567209398272 in words is "twelve trillion, five hundred sixty-seven billion, two hundred nine million, three hundred ninety-eight thousand, two hundred seventy-two".