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12122021223 = 361319232927
BaseRepresentation
bin10110100101000011…
…10101110101100111
31011021210201111000000
423102201311311213
5144311214134343
65322504552343
7606252323514
oct132241656547
934253644000
1012122021223
115160623a64
1224237826b3
1311b2518730
1482dd0230b
154ae324ed3
hex2d2875d67

12122021223 has 112 divisors (see below), whose sum is σ = 21506042880. Its totient is φ = 6757515072.

The previous prime is 12122021221. The next prime is 12122021237. The reversal of 12122021223 is 32212022121.

It is not a de Polignac number, because 12122021223 - 21 = 12122021221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122021196 and 12122021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122021221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4139986 + ... + 4142912.

It is an arithmetic number, because the mean of its divisors is an integer number (192018240).

Almost surely, 212122021223 is an apocalyptic number.

12122021223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12122021223 is a deficient number, since it is larger than the sum of its proper divisors (9384021657).

12122021223 is a wasteful number, since it uses less digits than its factorization.

12122021223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12122021223 its reverse (32212022121), we get a palindrome (44334043344).

It can be divided in two parts, 121220212 and 23, that added together give a triangular number (121220235 = T15570).

The spelling of 12122021223 in words is "twelve billion, one hundred twenty-two million, twenty-one thousand, two hundred twenty-three".

Divisors: 1 3 9 13 19 23 27 39 57 69 81 117 171 207 243 247 299 351 437 513 621 729 741 897 1053 1311 1539 1863 2223 2691 2927 3159 3933 4617 5589 5681 6669 8073 8781 9477 11799 13851 16767 17043 20007 24219 26343 35397 38051 51129 55613 60021 67321 72657 79029 106191 114153 153387 166839 180063 201963 217971 237087 318573 342459 460161 500517 605889 711261 722969 875173 1027377 1279099 1380483 1501551 1817667 2133783 2168907 2625519 3082131 3837297 4141449 4504653 5453001 6506721 7876557 9246393 11511891 13513959 16359003 16628287 19520163 23629671 27739179 34535673 40541877 49077009 49884861 58560489 70889013 103607019 149654583 175681467 212667039 310821057 448963749 527044401 638001117 932463171 1346891247 4040673741 12122021223