12271384224 has 192 divisors, whose sum is σ = 40305807360. Its totient is φ = 3598560000.

The previous prime is 12271384171. The next prime is 12271384277. The reversal of 12271384224 is 42248317221.

12271384224 is a `hidden beast` number, since 1 + 2 + 271 + 384 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12271384171) and next prime (12271384277).

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

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 31 ways as a sum of consecutive naturals, for example, 273799 + ... + 315449.

It is an arithmetic number, because the mean of its divisors is an integer number (209926080).

Almost surely, 2^12271384224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12271384224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20152903680).

12271384224 is an abundant number, since it is smaller than the sum of its proper divisors (28034423136).

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

12271384224 is a wasteful number, since it uses less digits than its factorization.

12271384224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41712 (or 41698 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

It can be divided in two parts, 12271 and 384224, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 12271384224 in words is "twelve billion, two hundred seventy-one million, three hundred eighty-four thousand, two hundred twenty-four".