12120121102200 has 192 divisors, whose sum is σ = 38658428261760. Its totient is φ = 3138927966720.

The previous prime is 12120121102147. The next prime is 12120121102241. The reversal of 12120121102200 is 220112102121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120121102200.

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, 11644359 + ... + 12642441.

It is an arithmetic number, because the mean of its divisors is an integer number (201345980530).

Almost surely, 2^{12120121102200} is an apocalyptic number.

12120121102200 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 12120121102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19329214130880).

12120121102200 is an abundant number, since it is smaller than the sum of its proper divisors (26538307159560).

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

12120121102200 is a wasteful number, since it uses less digits than its factorization.

12120121102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998686 (or 998677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12120121102200 its reverse (220112102121), we get a palindrome (12340233204321).

The spelling of 12120121102200 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-one million, one hundred two thousand, two hundred".