13322232202240 has 176 divisors, whose sum is σ = 34422162824448. Its totient is φ = 4918102032384.

The previous prime is 13322232202229. The next prime is 13322232202247. The reversal of 13322232202240 is 4220223222331.

It is a super-2 number, since 2×13322232202240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13322232202199 and 13322232202208.

It is not an unprimeable number, because it can be changed into a prime (13322232202247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 464774149 + ... + 464802811.

Almost surely, 2^{13322232202240} is an apocalyptic number.

13322232202240 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 13322232202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17211081412224).

13322232202240 is an abundant number, since it is smaller than the sum of its proper divisors (21099930622208).

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

13322232202240 is a wasteful number, since it uses less digits than its factorization.

13322232202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35684 (or 35666 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 13322232202240 its reverse (4220223222331), we get a palindrome (17542455424571).

The spelling of 13322232202240 in words is "thirteen trillion, three hundred twenty-two billion, two hundred thirty-two million, two hundred two thousand, two hundred forty".