13412144200 has 144 divisors (see below), whose sum is σ = 38590922880. Its totient is φ = 4244647680.

The previous prime is 13412144177. The next prime is 13412144227. The reversal of 13412144200 is 244121431.

It is a happy number.

It is a super-2 number, since 2×13412144200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208257 + ... + 264943.

It is an arithmetic number, because the mean of its divisors is an integer number (267992520).

Almost surely, 2^13412144200 is an apocalyptic number.

13412144200 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 13412144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295461440).

13412144200 is an abundant number, since it is smaller than the sum of its proper divisors (25178778680).

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

13412144200 is a wasteful number, since it uses less digits than its factorization.

13412144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56736 (or 56714 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13412144200 its reverse (244121431), we get a palindrome (13656265631).

The spelling of 13412144200 in words is "thirteen billion, four hundred twelve million, one hundred forty-four thousand, two hundred".