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12112022021121 = 32111034049293357
BaseRepresentation
bin1011000001000000110011…
…0001010010010000000001
31120212220020122021101200200
42300100030301102100001
53041420410114133441
641432104110435413
72360031124332201
oct260201461222001
946786218241620
1012112022021121
11394a752742350
121437483802b69
1369b20aaa4199
142dc321550401
151600dc7ca7b6
hexb040cc52401

12112022021121 has 48 divisors (see below), whose sum is σ = 19275732777600. Its totient is φ = 7267531138560.

The previous prime is 12112022021083. The next prime is 12112022021189.

12112022021121 is a `hidden beast` number, since 1 + 211 + 2 + 0 + 220 + 211 + 21 = 666.

12112022021121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12112022021121 - 222 = 12112017826817 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12112022021094 and 12112022021103.

It is not an unprimeable number, because it can be changed into a prime (12112022021191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41140975 + ... + 41434331.

It is an arithmetic number, because the mean of its divisors is an integer number (401577766200).

Almost surely, 212112022021121 is an apocalyptic number.

12112022021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112022021121 is a deficient number, since it is larger than the sum of its proper divisors (7163710756479).

12112022021121 is a wasteful number, since it uses less digits than its factorization.

12112022021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297526 (or 297523 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, 1211202 and 2021121, that added together give a palindrome (3232323).

The spelling of 12112022021121 in words is "twelve trillion, one hundred twelve billion, twenty-two million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 103 309 927 1133 3399 4049 10197 12147 36441 44539 133617 293357 400851 417047 880071 1251141 2640213 3226927 3753423 4587517 9680781 13762551 29042343 30215771 41287653 90647313 271941939 332373481 997120443 1187802493 2991361329 3563407479 10690222437 13065827423 39197482269 117592446807 122343656779 367030970337 1101092911011 1345780224569 4037340673707 12112022021121