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12210112112121 = 35711652563311
BaseRepresentation
bin1011000110101110001101…
…1001010010010111111001
31121020021102201002022100000
42301223203121102113321
53100022302200041441
641545125325503213
72400102650340660
oct261534331222771
947207381068300
1012210112112121
113988308a74560
121452499a11b09
136a75409c0a51
14302d88a87dd7
1516292deeb2b6
hexb1ae36525f9

12210112112121 has 48 divisors (see below), whose sum is σ = 22803172374528. Its totient is φ = 6342915373200.

The previous prime is 12210112112119. The next prime is 12210112112137. The reversal of 12210112112121 is 12121121101221.

It is a happy number.

It is not a de Polignac number, because 12210112112121 - 21 = 12210112112119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210112112094 and 12210112112103.

It is not an unprimeable number, because it can be changed into a prime (12210112112141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326262945 + ... + 326300366.

It is an arithmetic number, because the mean of its divisors is an integer number (475066091136).

Almost surely, 212210112112121 is an apocalyptic number.

12210112112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210112112121 is a deficient number, since it is larger than the sum of its proper divisors (10593060262407).

12210112112121 is an equidigital number, since it uses as much as digits as its factorization.

12210112112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652563344 (or 652563332 counting only the distinct ones).

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

Adding to 12210112112121 its reverse (12121121101221), we get a palindrome (24331233213342).

The spelling of 12210112112121 in words is "twelve trillion, two hundred ten billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 891 1701 2079 2673 6237 18711 652563311 1957689933 4567943177 5873069799 7178196421 13703829531 17619209397 21534589263 41111488593 50247374947 52857628191 64603767789 123334465779 150742124841 158572884573 193811303367 370003397337 452226374523 581433910101 1110010192011 1356679123569 1744301730303 4070037370707 12210112112121