12221022123000 has 256 divisors, whose sum is σ = 42389028864000. Its totient is φ = 3257183952000.

The previous prime is 12221022122993. The next prime is 12221022123001. The reversal of 12221022123000 is 32122012221.

12221022123000 is a `hidden beast` number, since 1 + 2 + 2 + 210 + 221 + 230 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221022123001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50396041 + ... + 50637959.

It is an arithmetic number, because the mean of its divisors is an integer number (165582144000).

Almost surely, 2^{12221022123000} is an apocalyptic number.

12221022123000 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 12221022123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194514432000).

12221022123000 is an abundant number, since it is smaller than the sum of its proper divisors (30168006741000).

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

12221022123000 is a wasteful number, since it uses less digits than its factorization.

12221022123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243820 (or 243800 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12221022123000 its reverse (32122012221), we get a palindrome (12253144135221).

The spelling of 12221022123000 in words is "twelve trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-three thousand".