12223102133000 has 192 divisors, whose sum is σ = 31469977571760. Its totient is φ = 4440332160000.

The previous prime is 12223102132999. The next prime is 12223102133141. The reversal of 12223102133000 is 33120132221.

It can be written as a sum of positive squares in 8 ways, for example, as 708603669796 + 11514498463204 = 841786^2 + 3393302^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122523140 + ... + 122622860.

Almost surely, 2^{12223102133000} is an apocalyptic number.

12223102133000 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 12223102133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15734988785880).

12223102133000 is an abundant number, since it is smaller than the sum of its proper divisors (19246875438760).

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

12223102133000 is a wasteful number, since it uses less digits than its factorization.

12223102133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100777 (or 100752 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12223102133000 its reverse (33120132221), we get a palindrome (12256222265221).

The spelling of 12223102133000 in words is "twelve trillion, two hundred twenty-three billion, one hundred two million, one hundred thirty-three thousand".