12001222322100 has 216 divisors, whose sum is σ = 41090296927680. Its totient is φ = 2905602048000.

The previous prime is 12001222322099. The next prime is 12001222322101. The reversal of 12001222322100 is 122322210021.

12001222322100 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 222 + 322 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (12001222322099) and next prime (12001222322101).

It is a super-2 number, since 2×12001222322100² (a number of 27 digits) contains 22 as substring.

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 (12001222322101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6824905 + ... + 8401295.

Almost surely, 2^{12001222322100} is an apocalyptic number.

12001222322100 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 12001222322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20545148463840).

12001222322100 is an abundant number, since it is smaller than the sum of its proper divisors (29089074605580).

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

12001222322100 is a wasteful number, since it uses less digits than its factorization.

12001222322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577191 (or 1577181 counting only the distinct ones).

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

Adding to 12001222322100 its reverse (122322210021), we get a palindrome (12123544532121).

The spelling of 12001222322100 in words is "twelve trillion, one billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred".