12201000000210 has 192 divisors, whose sum is σ = 36444802867200. Its totient is φ = 2774160005760.

The previous prime is 12201000000179. The next prime is 12201000000281. The reversal of 12201000000210 is 1200000010221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12201000000192 and 12201000000201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772647415 + ... + 772663205.

It is an arithmetic number, because the mean of its divisors is an integer number (189816681600).

Almost surely, 2^{12201000000210} is an apocalyptic number.

12201000000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201000000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18222401433600).

12201000000210 is an abundant number, since it is smaller than the sum of its proper divisors (24243802866990).

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

12201000000210 is a wasteful number, since it uses less digits than its factorization.

12201000000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22173 (or 22170 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12201000000210 its reverse (1200000010221), we get a palindrome (13401000010431).

The spelling of 12201000000210 in words is "twelve trillion, two hundred one billion, two hundred ten", and thus it is an aban number.