12223220133000 has 256 divisors, whose sum is σ = 40385060352000. Its totient is φ = 3067386470400.

The previous prime is 12223220132989. The next prime is 12223220133071. The reversal of 12223220133000 is 33102232221.

It is a happy number.

It is a super-2 number, since 2×12223220133000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665489817 + ... + 665508183.

It is an arithmetic number, because the mean of its divisors is an integer number (157754142000).

Almost surely, 2^{12223220133000} is an apocalyptic number.

12223220133000 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 12223220133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20192530176000).

12223220133000 is an abundant number, since it is smaller than the sum of its proper divisors (28161840219000).

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

12223220133000 is a wasteful number, since it uses less digits than its factorization.

12223220133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31457 (or 31443 counting only the distinct ones).

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

Adding to 12223220133000 its reverse (33102232221), we get a palindrome (12256322365221).

The spelling of 12223220133000 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty million, one hundred thirty-three thousand".