13124141203200 has 432 divisors, whose sum is σ = 44031694291200. Its totient is φ = 3441895833600.

The previous prime is 13124141203189. The next prime is 13124141203223. The reversal of 13124141203200 is 230214142131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557537031 + ... + 557560569.

Almost surely, 2^{13124141203200} is an apocalyptic number.

13124141203200 is a gapful number since it is divisible by the number (10) 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 13124141203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22015847145600).

13124141203200 is an abundant number, since it is smaller than the sum of its proper divisors (30907553088000).

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

13124141203200 is a wasteful number, since it uses less digits than its factorization.

13124141203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24048 (or 24029 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13124141203200 its reverse (230214142131), we get a palindrome (13354355345331).

The spelling of 13124141203200 in words is "thirteen trillion, one hundred twenty-four billion, one hundred forty-one million, two hundred three thousand, two hundred".