13001122200 has 192 divisors, whose sum is σ = 44625179520. Its totient is φ = 3104640000.

The previous prime is 13001122171. The next prime is 13001122201. The reversal of 13001122200 is 222110031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001122201) 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, 427500 + ... + 456900.

It is an arithmetic number, because the mean of its divisors is an integer number (232422810).

Almost surely, 2^13001122200 is an apocalyptic number.

13001122200 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 13001122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22312589760).

13001122200 is an abundant number, since it is smaller than the sum of its proper divisors (31624057320).

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

13001122200 is a wasteful number, since it uses less digits than its factorization.

13001122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29498 (or 29489 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13001122200 its reverse (222110031), we get a palindrome (13223232231).

The spelling of 13001122200 in words is "thirteen billion, one million, one hundred twenty-two thousand, two hundred".