12210120000 has 420 divisors, whose sum is σ = 47115808740. Its totient is φ = 3004416000.

The previous prime is 12210119983. The next prime is 12210120007. The reversal of 12210120000 is 2101221.

12210120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 11166571584 + 1043548416 = 105672^2 + 32304^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4678696 + ... + 4681304.

It is an arithmetic number, because the mean of its divisors is an integer number (112180497).

Almost surely, 2^12210120000 is an apocalyptic number.

12210120000 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 12210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23557904370).

12210120000 is an abundant number, since it is smaller than the sum of its proper divisors (34905688740).

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

12210120000 is a wasteful number, since it uses less digits than its factorization.

12210120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12210120000 its reverse (2101221), we get a palindrome (12212221221).

The spelling of 12210120000 in words is "twelve billion, two hundred ten million, one hundred twenty thousand".