12193414272 has 256 divisors, whose sum is σ = 39079219200. Its totient is φ = 3720536064.

The previous prime is 12193414267. The next prime is 12193414279. The reversal of 12193414272 is 27241439121.

12193414272 is a `hidden beast` number, since 1 + 2 + 193 + 41 + 427 + 2 = 666.

It is a super-2 number, since 2×12193414272² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12193414279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5704788 + ... + 5706924.

It is an arithmetic number, because the mean of its divisors is an integer number (152653200).

Almost surely, 2^12193414272 is an apocalyptic number.

12193414272 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 12193414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19539609600).

12193414272 is an abundant number, since it is smaller than the sum of its proper divisors (26885804928).

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

12193414272 is a wasteful number, since it uses less digits than its factorization.

12193414272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2282 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 12193414272 in words is "twelve billion, one hundred ninety-three million, four hundred fourteen thousand, two hundred seventy-two".