12000121102200 has 384 divisors, whose sum is σ = 49107909035520. Its totient is φ = 2346853171200.

The previous prime is 12000121102157. The next prime is 12000121102201. The reversal of 12000121102200 is 220112100021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000121102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6854097 + ... + 8424896.

It is an arithmetic number, because the mean of its divisors is an integer number (127885179780).

Almost surely, 2^{12000121102200} is an apocalyptic number.

12000121102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000121102200 is an abundant number, since it is smaller than the sum of its proper divisors (37107787933320).

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

12000121102200 is a wasteful number, since it uses less digits than its factorization.

12000121102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15279047 (or 15279038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000121102200 its reverse (220112100021), we get a palindrome (12220233202221).

The spelling of 12000121102200 in words is "twelve trillion, one hundred twenty-one million, one hundred two thousand, two hundred".