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12212031762 = 23272614
BaseRepresentation
bin10110101111110010…
…01101000100010010
31011112002002111020200
423113321031010102
5200002240004022
65335442120030
7611424362100
oct132771150422
934462074220
1012212031762
1151a7412237
122449950016
1311c80723c8
1483bc52c70
154b71a4bac
hex2d7e4d112

12212031762 has 90 divisors (see below), whose sum is σ = 31292292915. Its totient is φ = 3431952720.

The previous prime is 12212031743. The next prime is 12212031817. The reversal of 12212031762 is 26713021221.

12212031762 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2055624921 + 10156406841 = 45339^2 + 100779^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78141.

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 44 ways as a sum of consecutive naturals, for example, 200197212 + ... + 200197272.

Almost surely, 212212031762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212031762

12212031762 is an abundant number, since it is smaller than the sum of its proper divisors (19080261153).

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

12212031762 is an frugal number, since it uses more digits than its factorization.

12212031762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 12212031762 its reverse (26713021221), we get a palindrome (38925052983).

The spelling of 12212031762 in words is "twelve billion, two hundred twelve million, thirty-one thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 61 63 98 122 126 147 183 294 366 427 441 549 854 882 1098 1281 2562 2989 3721 3843 5978 7442 7686 8967 11163 17934 22326 26047 26901 33489 52094 53802 66978 78141 156282 182329 226981 234423 364658 453962 468846 546987 680943 1093974 1361886 1588867 1640961 2042829 3177734 3281922 4085658 4766601 9533202 11122069 13845841 14299803 22244138 27691682 28599606 33366207 41537523 66732414 83075046 96920887 100098621 124612569 193841774 200197242 249225138 290762661 581525322 678446209 872287983 1356892418 1744575966 2035338627 4070677254 6106015881 12212031762