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12210111101221 = 11310190828091
BaseRepresentation
bin1011000110101110001101…
…0101011011100100100101
31121020021102122011221122021
42301223203111123210211
53100022301420214341
641545125252103141
72400102635630515
oct261534325334445
947207378157567
1012210111101221
113988308444000
121452499604ab1
136a7540728897
14302d888a3845
1516292dd9b9d1
hexb1ae355b925

12210111101221 has 16 divisors (see below), whose sum is σ = 13563177322176. Its totient is φ = 10990198890000.

The previous prime is 12210111101147. The next prime is 12210111101267.

12210111101221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12210111101221 - 219 = 12210110576933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210111101195 and 12210111101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210111101281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45279615 + ... + 45548476.

It is an arithmetic number, because the mean of its divisors is an integer number (847698582636).

Almost surely, 212210111101221 is an apocalyptic number.

12210111101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210111101221 is a deficient number, since it is larger than the sum of its proper divisors (1353066220955).

12210111101221 is an equidigital number, since it uses as much as digits as its factorization.

12210111101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90828225 (or 90828203 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 1221011 and 1101221, that added together give a palindrome (2322232).

The spelling of 12210111101221 in words is "twelve trillion, two hundred ten billion, one hundred eleven million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 11 101 121 1111 1331 12221 134431 90828091 999109001 9173637191 10990199011 100910009101 120892189121 1110010100111 12210111101221