12200121100200 has 384 divisors, whose sum is σ = 41464203264000. Its totient is φ = 2942886374400.

The previous prime is 12200121100177. The next prime is 12200121100229. The reversal of 12200121100200 is 200112100221.

12200121100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2774644402 + ... + 2774648798.

It is an arithmetic number, because the mean of its divisors is an integer number (107979696000).

Almost surely, 2^{12200121100200} is an apocalyptic number.

12200121100200 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 12200121100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20732101632000).

12200121100200 is an abundant number, since it is smaller than the sum of its proper divisors (29264082163800).

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

12200121100200 is a wasteful number, since it uses less digits than its factorization.

12200121100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6416 counting only the distinct ones).

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

Adding to 12200121100200 its reverse (200112100221), we get a palindrome (12400233200421).

It can be divided in two parts, 12200121 and 100200, that added together give a palindrome (12300321).

The spelling of 12200121100200 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, one hundred thousand, two hundred".