12200112112221 has 48 divisors (see below), whose sum is σ = 19253192018112. Its totient is φ = 7382944800000.

The previous prime is 12200112112211. The next prime is 12200112112283. The reversal of 12200112112221 is 12221121100221.

12200112112221 is a `hidden beast` number, since 1 + 220 + 0 + 11 + 211 + 2 + 221 = 666.

It is not a de Polignac number, because 12200112112221 - 2¹⁷ = 12200111981149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200112112194 and 12200112112203.

It is a congruent number.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464735346 + ... + 464761596.

It is an arithmetic number, because the mean of its divisors is an integer number (401108167044).

Almost surely, 2^{12200112112221} is an apocalyptic number.

12200112112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200112112221 is a deficient number, since it is larger than the sum of its proper divisors (7053079905891).

12200112112221 is a wasteful number, since it uses less digits than its factorization.

12200112112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33114 (or 33111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12200112112221 its reverse (12221121100221), we get a palindrome (24421233212442).

The spelling of 12200112112221 in words is "twelve trillion, two hundred billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-one".