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12122202012 = 223113167199269
BaseRepresentation
bin10110100101000101…
…00001111110011100
31011021211001122222220
423102202201332130
5144311240431022
65322512505340
7606254005554
oct132242417634
934254048886
1012122202012
115160737878
12242384b250
1311b257cacb
1482dd4c164
154ae35d85c
hex2d28a1f9c

12122202012 has 96 divisors (see below), whose sum is σ = 28957824000. Its totient is φ = 3946263552.

The previous prime is 12122202007. The next prime is 12122202091. The reversal of 12122202012 is 21020222121.

12122202012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12122201982 and 12122202000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45063814 + ... + 45064082.

It is an arithmetic number, because the mean of its divisors is an integer number (301644000).

Almost surely, 212122202012 is an apocalyptic number.

12122202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122202012 is an abundant number, since it is smaller than the sum of its proper divisors (16835621988).

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

12122202012 is a wasteful number, since it uses less digits than its factorization.

12122202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12122202012 its reverse (21020222121), we get a palindrome (33142424133).

The spelling of 12122202012 in words is "twelve billion, one hundred twenty-two million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 113 167 199 226 269 334 339 398 452 501 538 597 668 678 796 807 1002 1076 1194 1356 1614 2004 2388 3228 18871 22487 30397 33233 37742 44923 44974 53531 56613 60794 66466 67461 75484 89846 89948 91191 99699 107062 113226 121588 132932 134769 134922 160593 179692 182382 199398 214124 226452 269538 269844 321186 364764 398796 539076 642372 3755329 5076299 6049003 7510658 8939677 10152598 11265987 12098006 15021316 15228897 17879354 18147009 20305196 22531974 24196012 26819031 30457794 35758708 36294018 45063948 53638062 60915588 72588036 107276124 1010183501 2020367002 3030550503 4040734004 6061101006 12122202012