13223302012200 has 384 divisors, whose sum is σ = 50050018022400. Its totient is φ = 2820653383680.

The previous prime is 13223302012187. The next prime is 13223302012211. The reversal of 13223302012200 is 221020332231.

It is a happy number.

It is a super-2 number, since 2×13223302012200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4109992 + ... + 6583208.

It is an arithmetic number, because the mean of its divisors is an integer number (130338588600).

Almost surely, 2^{13223302012200} is an apocalyptic number.

13223302012200 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 13223302012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25025009011200).

13223302012200 is an abundant number, since it is smaller than the sum of its proper divisors (36826716010200).

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

13223302012200 is a wasteful number, since it uses less digits than its factorization.

13223302012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473329 (or 2473320 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13223302012200 its reverse (221020332231), we get a palindrome (13444322344431).

The spelling of 13223302012200 in words is "thirteen trillion, two hundred twenty-three billion, three hundred two million, twelve thousand, two hundred".