12010100211200 has 240 divisors, whose sum is σ = 36622725474720. Its totient is φ = 3800998379520.

The previous prime is 12010100211199. The next prime is 12010100211247. The reversal of 12010100211200 is 211200101021.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3990635 + ... + 6320234.

It is an arithmetic number, because the mean of its divisors is an integer number (152594689478).

Almost surely, 2^{12010100211200} is an apocalyptic number.

12010100211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010100211200 is an abundant number, since it is smaller than the sum of its proper divisors (24612625263520).

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

12010100211200 is a wasteful number, since it uses less digits than its factorization.

12010100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10310917 (or 10310896 counting only the distinct ones).

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

Adding to 12010100211200 its reverse (211200101021), we get a palindrome (12221300312221).

The spelling of 12010100211200 in words is "twelve trillion, ten billion, one hundred million, two hundred eleven thousand, two hundred".