12112200221121 has 192 divisors, whose sum is σ = 24135932620800. Its totient is φ = 5648560427520.

The previous prime is 12112200221119. The next prime is 12112200221123.

12112200221121 is a `hidden beast` number, since 1 + 211 + 220 + 0 + 2 + 211 + 21 = 666.

12112200221121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12112200221119) and next prime (12112200221123).

It is not a de Polignac number, because 12112200221121 - 2¹ = 12112200221119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12112200221094 and 12112200221103.

It is not an unprimeable number, because it can be changed into a prime (12112200221123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 899659036 + ... + 899672498.

It is an arithmetic number, because the mean of its divisors is an integer number (125707982400).

Almost surely, 2^{12112200221121} is an apocalyptic number.

12112200221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112200221121 is a deficient number, since it is larger than the sum of its proper divisors (12023732399679).

12112200221121 is a wasteful number, since it uses less digits than its factorization.

12112200221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16236 (or 16233 counting only the distinct ones).

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

It can be divided in two parts, 12112200 and 221121, that added together give a palindrome (12333321).

The spelling of 12112200221121 in words is "twelve trillion, one hundred twelve billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-one".