12200112112201 has 8 divisors (see below), whose sum is σ = 13139132133960. Its totient is φ = 11261170641792.

The previous prime is 12200112112183. The next prime is 12200112112211. The reversal of 12200112112201 is 10221121100221.

It can be written as a sum of positive squares in 4 ways, for example, as 708357889600 + 11491754222601 = 841640^2 + 3389949^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12200112112201 - 2²³ = 12200103723593 is a prime.

It is a super-2 number, since 2×12200112112201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12200112112211) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19315060 + ... + 19936693.

It is an arithmetic number, because the mean of its divisors is an integer number (1642391516745).

Almost surely, 2^{12200112112201} is an apocalyptic number.

It is an amenable number.

12200112112201 is a deficient number, since it is larger than the sum of its proper divisors (939020021759).

12200112112201 is a wasteful number, since it uses less digits than its factorization.

12200112112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39275675.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12200112112201 its reverse (10221121100221), we get a palindrome (22421233212422).

The spelling of 12200112112201 in words is "twelve trillion, two hundred billion, one hundred twelve million, one hundred twelve thousand, two hundred one".