12131308224 has 448 divisors, whose sum is σ = 42135552000. Its totient is φ = 3351269376.

The previous prime is 12131308223. The next prime is 12131308243. The reversal of 12131308224 is 42280313121.

12131308224 is a `hidden beast` number, since 1 + 2 + 131 + 308 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12131308223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81418102 + ... + 81418250.

Almost surely, 2^12131308224 is an apocalyptic number.

12131308224 is a gapful number since it is divisible by the number (14) 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 12131308224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776000).

12131308224 is an abundant number, since it is smaller than the sum of its proper divisors (30004243776).

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

12131308224 is a wasteful number, since it uses less digits than its factorization.

12131308224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12131308224 in words is "twelve billion, one hundred thirty-one million, three hundred eight thousand, two hundred twenty-four".