12224310689052 has 1152 divisors, whose sum is σ = 44381675520000. Its totient is φ = 2794460497920.

The previous prime is 12224310689029. The next prime is 12224310689053. The reversal of 12224310689052 is 25098601342221.

12224310689052 is a `hidden beast` number, since 1 + 2 + 22 + 431 + 0 + 68 + 90 + 52 = 666.

12224310689052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12224310688989 and 12224310689007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224310689053) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3465921313 + ... + 3465924839.

It is an arithmetic number, because the mean of its divisors is an integer number (38525760000).

Almost surely, 2^{12224310689052} is an apocalyptic number.

12224310689052 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 12224310689052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190837760000).

12224310689052 is an abundant number, since it is smaller than the sum of its proper divisors (32157364830948).

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

12224310689052 is a wasteful number, since it uses less digits than its factorization.

12224310689052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12224310689052 in words is "twelve trillion, two hundred twenty-four billion, three hundred ten million, six hundred eighty-nine thousand, fifty-two".