12165334272 has 648 divisors, whose sum is σ = 45716807136. Its totient is φ = 3197988864.

The previous prime is 12165334241. The next prime is 12165334289. The reversal of 12165334272 is 27243356121.

12165334272 is a `hidden beast` number, since 1 + 2 + 16 + 533 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39626343 + ... + 39626649.

Almost surely, 2^12165334272 is an apocalyptic number.

12165334272 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 12165334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22858403568).

12165334272 is an abundant number, since it is smaller than the sum of its proper divisors (33551472864).

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

12165334272 is an equidigital number, since it uses as much as digits as its factorization.

12165334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 332 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 12165334272 in words is "twelve billion, one hundred sixty-five million, three hundred thirty-four thousand, two hundred seventy-two".