12120121202200 has 192 divisors, whose sum is σ = 32190987859200. Its totient is φ = 4200792921600.

The previous prime is 12120121202197. The next prime is 12120121202227. The reversal of 12120121202200 is 220212102121.

It is a happy number.

It is a congruent number.

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, 13896606 + ... + 14742994.

It is an arithmetic number, because the mean of its divisors is an integer number (167661395100).

Almost surely, 2^{12120121202200} is an apocalyptic number.

12120121202200 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 12120121202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095493929600).

12120121202200 is an abundant number, since it is smaller than the sum of its proper divisors (20070866657000).

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

12120121202200 is a wasteful number, since it uses less digits than its factorization.

12120121202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846722 (or 846713 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12120121202200 its reverse (220212102121), we get a palindrome (12340333304321).

It can be divided in two parts, 12120121 and 202200, that added together give a palindrome (12322321).

The spelling of 12120121202200 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-one million, two hundred two thousand, two hundred".