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12110120121 = 31129151181463
BaseRepresentation
bin10110100011101000…
…11100010010111001
31011020222022211202110
423101310130102321
5144300142320441
65321401522533
7606046215441
oct132164342271
934228284673
1012110120121
115154935540
12241b7a3449
1311acc0c768
1482c4c5121
154ad273b16
hex2d1d1c4b9

12110120121 has 64 divisors (see below), whose sum is σ = 18483978240. Its totient is φ = 6985440000.

The previous prime is 12110120083. The next prime is 12110120129. The reversal of 12110120121 is 12102101121.

12110120121 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 12110120121 - 27 = 12110119993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12110120097 and 12110120106.

It is not an unprimeable number, because it can be changed into a prime (12110120129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26155536 + ... + 26155998.

It is an arithmetic number, because the mean of its divisors is an integer number (288812160).

Almost surely, 212110120121 is an apocalyptic number.

12110120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12110120121 is a deficient number, since it is larger than the sum of its proper divisors (6373858119).

12110120121 is a wasteful number, since it uses less digits than its factorization.

12110120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12110120121 its reverse (12102101121), we get a palindrome (24212221242).

It can be divided in two parts, 12110 and 120121, that added together give a palindrome (132231).

The spelling of 12110120121 in words is "twelve billion, one hundred ten million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 11 29 33 87 151 181 319 453 463 543 957 1389 1661 1991 4379 4983 5093 5249 5973 13137 13427 15279 15747 27331 40281 48169 57739 69913 81993 83803 144507 147697 173217 209739 251409 300641 443091 769043 792599 901923 921833 2027477 2307129 2377797 2430287 2765499 6082431 7290861 8718589 12654253 22302247 26155767 26733157 37962759 66906741 80199471 139196783 366973337 417590349 1100920011 4036706707 12110120121