13224245656512 has 448 divisors, whose sum is σ = 39000535257600. Its totient is φ = 3921297408000.

The previous prime is 13224245656471. The next prime is 13224245656537. The reversal of 13224245656512 is 21565654242231.

It is a super-2 number, since 2×13224245656512² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12606525364 + ... + 12606526412.

It is an arithmetic number, because the mean of its divisors is an integer number (87054766200).

Almost surely, 2^{13224245656512} is an apocalyptic number.

13224245656512 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 13224245656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19500267628800).

13224245656512 is an abundant number, since it is smaller than the sum of its proper divisors (25776289601088).

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

13224245656512 is a wasteful number, since it uses less digits than its factorization.

13224245656512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1802 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

Adding to 13224245656512 its reverse (21565654242231), we get a palindrome (34789899898743).

It can be divided in two parts, 132242 and 45656512, that added together give a palindrome (45788754).

The spelling of 13224245656512 in words is "thirteen trillion, two hundred twenty-four billion, two hundred forty-five million, six hundred fifty-six thousand, five hundred twelve".