Search a number
-
+
12210022022121 = 32711158591110983
BaseRepresentation
bin1011000110101101111000…
…0001100111101111101001
31121020021012102120021002100
42301223132001213233221
53100022111114201441
641545112350524013
72400100504521630
oct261533601475751
947207172507070
1012210022022121
113988272131610
121452473806609
136a7528139b61
14302d7ab16517
15162926152cb6
hexb1ade067be9

12210022022121 has 48 divisors (see below), whose sum is σ = 21990017387520. Its totient is φ = 6342462920160.

The previous prime is 12210022022087. The next prime is 12210022022161. The reversal of 12210022022121 is 12122022001221.

It is a happy number.

12210022022121 is a `hidden beast` number, since 1 + 221 + 0 + 0 + 220 + 221 + 2 + 1 = 666.

It is not a de Polignac number, because 12210022022121 - 210 = 12210022021097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210022022094 and 12210022022103.

It is not an unprimeable number, because it can be changed into a prime (12210022022161) 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, 10434796 + ... + 11545778.

It is an arithmetic number, because the mean of its divisors is an integer number (458125362240).

Almost surely, 212210022022121 is an apocalyptic number.

12210022022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210022022121 is a deficient number, since it is larger than the sum of its proper divisors (9779995365399).

12210022022121 is a wasteful number, since it uses less digits than its factorization.

12210022022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126866 (or 1126863 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12210022022121 its reverse (12122022001221), we get a palindrome (24332044023342).

The spelling of 12210022022121 in words is "twelve trillion, two hundred ten billion, twenty-two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 15859 47577 111013 142731 174449 333039 523347 999117 1110983 1221143 1570041 3332949 3663429 7776881 9998847 10990287 12220813 23330643 36662439 69991929 85545691 109987317 256637073 769911219 17619079397 52857238191 123333555779 158571714573 193809873367 370000667337 581429620101 1110002002011 1356669113569 1744288860303 4070007340707 12210022022121