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12102212221121 = 1113732999267193
BaseRepresentation
bin1011000000011100010000…
…0011110111100011000001
31120211221220222101220220202
42300013010003313203001
53041240312312033441
641423402440414545
72356233046400201
oct260070403674301
946757828356822
1012102212221121
113946579327420
1214355a6477455
1369a30661c4b9
142dba7077c401
1515ec1648d19b
hexb01c40f78c1

12102212221121 has 16 divisors (see below), whose sum is σ = 13216484016000. Its totient is φ = 10990290971520.

The previous prime is 12102212221103. The next prime is 12102212221147. The reversal of 12102212221121 is 12112221220121.

It is a cyclic number.

It is not a de Polignac number, because 12102212221121 - 226 = 12102145112257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12102212221093 and 12102212221102.

It is not an unprimeable number, because it can be changed into a prime (12102212521121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45160301 + ... + 45427493.

It is an arithmetic number, because the mean of its divisors is an integer number (826030251000).

Almost surely, 212102212221121 is an apocalyptic number.

12102212221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102212221121 is a deficient number, since it is larger than the sum of its proper divisors (1114271794879).

12102212221121 is a wasteful number, since it uses less digits than its factorization.

12102212221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271576.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12102212221121 its reverse (12112221220121), we get a palindrome (24214433441242).

The spelling of 12102212221121 in words is "twelve trillion, one hundred two billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 1373 2999 15103 32989 267193 2939123 4117627 45293897 366855989 801311807 4035415879 8814429877 1100201111011 12102212221121