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12003022122 = 23713313891823
BaseRepresentation
bin10110010110110111…
…11001010100101010
31010222111210200220220
423023123321110222
5144040233201442
65303014230510
7603306001410
oct131333712452
933874720826
1012003022122
1150aa4361a3
1223ab955436
131193982270
1481c1a72b0
154a3b6aeec
hex2cb6f952a

12003022122 has 128 divisors (see below), whose sum is σ = 30594170880. Its totient is φ = 3053963520.

The previous prime is 12003022099. The next prime is 12003022169. The reversal of 12003022122 is 22122030021.

It is a happy number.

It is a super-2 number, since 2×120030221222 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6583303 + ... + 6585125.

It is an arithmetic number, because the mean of its divisors is an integer number (239016960).

Almost surely, 212003022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297085440).

12003022122 is an abundant number, since it is smaller than the sum of its proper divisors (18591148758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12003022122 is a wasteful number, since it uses less digits than its factorization.

12003022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12003022122 its reverse (22122030021), we get a palindrome (34125052143).

The spelling of 12003022122 in words is "twelve billion, three million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 389 403 434 546 651 778 806 1167 1209 1302 1823 2334 2418 2723 2821 3646 5057 5446 5469 5642 8169 8463 10114 10938 12059 12761 15171 16338 16926 23699 24118 25522 30342 35399 36177 38283 47398 56513 70798 71097 72354 76566 84413 106197 113026 142194 156767 165893 168826 169539 212394 253239 313534 331786 339078 395591 470301 497679 506478 709147 734669 791182 940602 995358 1097369 1186773 1418294 1469338 2127441 2194738 2204007 2373546 3292107 4254882 4408014 4964029 5142683 6584214 9218911 9928058 10285366 14892087 15428049 18437822 21983557 27656733 29784174 30856098 43967114 55313466 64532377 65950671 129064754 131901342 153884899 193597131 285786241 307769798 387194262 461654697 571572482 857358723 923309394 1714717446 2000503687 4001007374 6001511061 12003022122