13124115200 has 216 divisors, whose sum is σ = 37642778208. Its totient is φ = 4436951040.

The previous prime is 13124115167. The next prime is 13124115223. The reversal of 13124115200 is 251142131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3268394 + ... + 3272406.

Almost surely, 2^13124115200 is an apocalyptic number.

13124115200 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 13124115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821389104).

13124115200 is an abundant number, since it is smaller than the sum of its proper divisors (24518663008).

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

13124115200 is an equidigital number, since it uses as much as digits as its factorization.

13124115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 13124115200 its reverse (251142131), we get a palindrome (13375257331).

The spelling of 13124115200 in words is "thirteen billion, one hundred twenty-four million, one hundred fifteen thousand, two hundred".