12031012224 has 384 divisors, whose sum is σ = 45047508480. Its totient is φ = 2988564480.

The previous prime is 12031012193. The next prime is 12031012229. The reversal of 12031012224 is 42221013021.

It is a happy number.

12031012224 is a `hidden beast` number, since 120 + 310 + 12 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12031012197 and 12031012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031012229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2037244 + ... + 2043140.

It is an arithmetic number, because the mean of its divisors is an integer number (117311220).

Almost surely, 2^12031012224 is an apocalyptic number.

12031012224 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 12031012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22523754240).

12031012224 is an abundant number, since it is smaller than the sum of its proper divisors (33016496256).

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

12031012224 is a wasteful number, since it uses less digits than its factorization.

12031012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12031012224 its reverse (42221013021), we get a palindrome (54252025245).

The spelling of 12031012224 in words is "twelve billion, thirty-one million, twelve thousand, two hundred twenty-four".