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12211121021121 = 3311193847562501
BaseRepresentation
bin1011000110110001111110…
…0001111110000011000001
31121020101001000112012022000
42301230133201332003001
53100031333440133441
641545413410134213
72400136651045431
oct261543741760301
947211030465260
1012211121021121
113988786522850
12145271b881369
136a7671a2a019
14303042a742c1
1516298c88c2b6
hexb1b1f87e0c1

12211121021121 has 64 divisors (see below), whose sum is σ = 20779273881600. Its totient is φ = 7009335000000.

The previous prime is 12211121021119. The next prime is 12211121021147. The reversal of 12211121021121 is 12112012111221.

It is a happy number.

12211121021121 is a `hidden beast` number, since 1 + 221 + 1 + 1 + 210 + 211 + 21 = 666.

12211121021121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12211121021121 - 21 = 12211121021119 is a prime.

It is a super-2 number, since 2×122111210211212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12211121021094 and 12211121021103.

It is not an unprimeable number, because it can be changed into a prime (12211121023121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21427371 + ... + 21989871.

It is an arithmetic number, because the mean of its divisors is an integer number (324676154400).

Almost surely, 212211121021121 is an apocalyptic number.

12211121021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211121021121 is a deficient number, since it is larger than the sum of its proper divisors (8568152860479).

12211121021121 is a wasteful number, since it uses less digits than its factorization.

12211121021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566387 (or 566381 counting only the distinct ones).

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

Adding to 12211121021121 its reverse (12112012111221), we get a palindrome (24323133132342).

The spelling of 12211121021121 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 1881 3847 5643 11541 34623 42317 73093 103869 126951 219279 380853 562501 657837 804023 1142559 1687503 1973511 2412069 5062509 6187511 7236207 10687519 15187527 18562533 21708621 32062557 55687599 96187671 117562709 167062797 288563013 352688127 1058064381 2163941347 3174193143 6491824041 19475472123 23803354817 41114885593 58426416369 71410064451 123344656779 214230193353 370033970337 452263741523 642690580059 1110101911011 1356791224569 4070373673707 12211121021121