12313033120224 has 192 divisors, whose sum is σ = 36201103848000. Its totient is φ = 4071491536896.

The previous prime is 12313033120099. The next prime is 12313033120237. The reversal of 12313033120224 is 42202133031321.

12313033120224 is a `hidden beast` number, since 1 + 2 + 313 + 0 + 3 + 3 + 120 + 224 = 666.

It is a super-2 number, since 2×12313033120224² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99451062 + ... + 99574794.

It is an arithmetic number, because the mean of its divisors is an integer number (188547415875).

Almost surely, 2^{12313033120224} 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 12313033120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100551924000).

12313033120224 is an abundant number, since it is smaller than the sum of its proper divisors (23888070727776).

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

12313033120224 is a wasteful number, since it uses less digits than its factorization.

12313033120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124674 (or 124660 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12313033120224 its reverse (42202133031321), we get a palindrome (54515166151545).

The spelling of 12313033120224 in words is "twelve trillion, three hundred thirteen billion, thirty-three million, one hundred twenty thousand, two hundred twenty-four".