13114412231200 has 288 divisors, whose sum is σ = 38958000278400. Its totient is φ = 4208230318080.

The previous prime is 13114412231161. The next prime is 13114412231201. The reversal of 13114412231200 is 213221441131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13114412231201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16656006 + ... + 17425594.

It is an arithmetic number, because the mean of its divisors is an integer number (135270834300).

Almost surely, 2^{13114412231200} is an apocalyptic number.

13114412231200 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 13114412231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19479000139200).

13114412231200 is an abundant number, since it is smaller than the sum of its proper divisors (25843588047200).

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

13114412231200 is a wasteful number, since it uses less digits than its factorization.

13114412231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769812 (or 769799 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13114412231200 its reverse (213221441131), we get a palindrome (13327633672331).

The spelling of 13114412231200 in words is "thirteen trillion, one hundred fourteen billion, four hundred twelve million, two hundred thirty-one thousand, two hundred".