13221021200 has 120 divisors (see below), whose sum is σ = 32447242440. Its totient is φ = 5175808000.

The previous prime is 13221021197. The next prime is 13221021223. The reversal of 13221021200 is 212012231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 795014416 + 12426006784 = 28196^2 + 111472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3593762 + ... + 3597438.

It is an arithmetic number, because the mean of its divisors is an integer number (270393687).

Almost surely, 2^13221021200 is an apocalyptic number.

13221021200 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 13221021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16223621220).

13221021200 is an abundant number, since it is smaller than the sum of its proper divisors (19226221240).

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

13221021200 is a wasteful number, since it uses less digits than its factorization.

13221021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13221021200 its reverse (212012231), we get a palindrome (13433033431).

The spelling of 13221021200 in words is "thirteen billion, two hundred twenty-one million, twenty-one thousand, two hundred".