12211011100200 has 384 divisors, whose sum is σ = 43738921779840. Its totient is φ = 2785198080000.

The previous prime is 12211011100151. The next prime is 12211011100201. The reversal of 12211011100200 is 200111011221.

12211011100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12211011100200² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12211011100201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377088010 + ... + 377120390.

It is an arithmetic number, because the mean of its divisors is an integer number (113903442135).

Almost surely, 2^{12211011100200} is an apocalyptic number.

12211011100200 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 12211011100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21869460889920).

12211011100200 is an abundant number, since it is smaller than the sum of its proper divisors (31527910679640).

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

12211011100200 is a wasteful number, since it uses less digits than its factorization.

12211011100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35789 (or 35780 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211011100200 its reverse (200111011221), we get a palindrome (12411122111421).

The spelling of 12211011100200 in words is "twelve trillion, two hundred eleven billion, eleven million, one hundred thousand, two hundred".