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12112211221011 = 331144990828187
BaseRepresentation
bin1011000001000001100000…
…0011000001101000010011
31120212220201211021202011000
42300100120003001220103
53041421302033033021
641432134545553043
72360035612445316
oct260203003015023
946786654252130
1012112211221011
11394a83a518aa0
121437517045783
1369b23b049695
142dc33c72097d
151600ee1eeb26
hexb04180c1a13

12112211221011 has 32 divisors (see below), whose sum is σ = 19618888608000. Its totient is φ = 7324384919040.

The previous prime is 12112211220947. The next prime is 12112211221027. The reversal of 12112211221011 is 11012211221121.

It is a happy number.

12112211221011 is a `hidden beast` number, since 1 + 211 + 221 + 1 + 221 + 0 + 11 = 666.

It is not a de Polignac number, because 12112211221011 - 26 = 12112211220947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12112211221081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45280741 + ... + 45547446.

It is an arithmetic number, because the mean of its divisors is an integer number (613090269000).

Almost surely, 212112211221011 is an apocalyptic number.

12112211221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12112211221011 is a deficient number, since it is larger than the sum of its proper divisors (7506677386989).

12112211221011 is a wasteful number, since it uses less digits than its factorization.

12112211221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90828656 (or 90828650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12112211221011 its reverse (11012211221121), we get a palindrome (23124422442132).

The spelling of 12112211221011 in words is "twelve trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 9 11 27 33 99 297 449 1347 4041 4939 12123 14817 44451 133353 90828187 272484561 817453683 999110057 2452361049 2997330171 8991990513 26975971539 40781855963 122345567889 367036703667 448600415593 1101110111001 1345801246779 4037403740337 12112211221011