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12112102202121 = 324132824125209
BaseRepresentation
bin1011000001000001000110…
…0011001001101100001001
31120212220110020011000100100
42300100101203021230021
53041421041130431441
641432120053200013
72360033120011065
oct260202143115411
946786406130310
1012112102202121
11394a793a27539
1214374a6630009
1369b221598a6c
142dc32c062aa5
151600e4867cb6
hexb04118c9b09

12112102202121 has 12 divisors (see below), whose sum is σ = 17921972364660. Its totient is φ = 7877790049920.

The previous prime is 12112102202051. The next prime is 12112102202279. The reversal of 12112102202121 is 12120220121121.

12112102202121 is a `hidden beast` number, since 1 + 21 + 1 + 210 + 220 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4216923855225 + 7895178346896 = 2053515^2 + 2809836^2 .

It is not a de Polignac number, because 12112102202121 - 211 = 12112102200073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12112102202094 and 12112102202103.

It is not an unprimeable number, because it can be changed into a prime (12112102204121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16412062236 + ... + 16412062973.

It is an arithmetic number, because the mean of its divisors is an integer number (1493497697055).

Almost surely, 212112102202121 is an apocalyptic number.

It is an amenable number.

12112102202121 is a deficient number, since it is larger than the sum of its proper divisors (5809870162539).

12112102202121 is a wasteful number, since it uses less digits than its factorization.

12112102202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32824125256 (or 32824125253 counting only the distinct ones).

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

Adding to 12112102202121 its reverse (12120220121121), we get a palindrome (24232322323242).

The spelling of 12112102202121 in words is "twelve trillion, one hundred twelve billion, one hundred two million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 41 123 369 32824125209 98472375627 295417126881 1345789133569 4037367400707 12112102202121