13221312222000 has 960 divisors, whose sum is σ = 46744822425600. Its totient is φ = 3205885132800.

The previous prime is 13221312221989. The next prime is 13221312222011. The reversal of 13221312222000 is 22221312231.

It is an interprime number because it is at equal distance from previous prime (13221312221989) and next prime (13221312222011).

It is a super-3 number, since 3×13221312222000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22913885712 + ... + 22913886288.

It is an arithmetic number, because the mean of its divisors is an integer number (48692523360).

Almost surely, 2^{13221312222000} is an apocalyptic number.

13221312222000 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 13221312222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372411212800).

13221312222000 is an abundant number, since it is smaller than the sum of its proper divisors (33523510203600).

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

13221312222000 is a wasteful number, since it uses less digits than its factorization.

13221312222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13221312222000 its reverse (22221312231), we get a palindrome (13243533534231).

The spelling of 13221312222000 in words is "thirteen trillion, two hundred twenty-one billion, three hundred twelve million, two hundred twenty-two thousand".