12001010200200 has 1152 divisors, whose sum is σ = 49075573248000. Its totient is φ = 2567274393600.

The previous prime is 12001010200183. The next prime is 12001010200237. The reversal of 12001010200200 is 200201010021.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7838673435 + ... + 7838674965.

It is an arithmetic number, because the mean of its divisors is an integer number (42600324000).

Almost surely, 2^{12001010200200} is an apocalyptic number.

12001010200200 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 12001010200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24537786624000).

12001010200200 is an abundant number, since it is smaller than the sum of its proper divisors (37074563047800).

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

12001010200200 is a wasteful number, since it uses less digits than its factorization.

12001010200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1943 counting only the distinct ones).

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

Adding to 12001010200200 its reverse (200201010021), we get a palindrome (12201211210221).

The spelling of 12001010200200 in words is "twelve trillion, one billion, ten million, two hundred thousand, two hundred".