12200121101000 has 128 divisors (see below), whose sum is σ = 32629664021760. Its totient is φ = 4182507072000.

The previous prime is 12200121100939. The next prime is 12200121101023. The reversal of 12200121101000 is 10112100221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80361164 + ... + 80512836.

It is an arithmetic number, because the mean of its divisors is an integer number (254919250170).

Almost surely, 2^{12200121101000} is an apocalyptic number.

12200121101000 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 12200121101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314832010880).

12200121101000 is an abundant number, since it is smaller than the sum of its proper divisors (20429542920760).

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

12200121101000 is a wasteful number, since it uses less digits than its factorization.

12200121101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163192 (or 163178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12200121101000 its reverse (10112100221), we get a palindrome (12210233201221).

The spelling of 12200121101000 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, one hundred one thousand".