Search a number
-
+
12012222312 = 2332415376777
BaseRepresentation
bin10110010111111101…
…11111011101101000
31011000011010010012200
423023332333131220
5144100112103222
65303543340200
7603450130206
oct131376773550
934004103180
1012012222312
11510464a462
1223b2a51660
131195853a6c
1481d4c0076
154a4886eac
hex2cbfbf768

12012222312 has 96 divisors (see below), whose sum is σ = 33955838280. Its totient is φ = 3832657920.

The previous prime is 12012222311. The next prime is 12012222319. The reversal of 12012222312 is 21322221021.

12012222312 is a `hidden beast` number, since 120 + 12 + 222 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6243212196 + 5769010116 = 79014^2 + 75954^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12012222311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118068 + ... + 194844.

Almost surely, 212012222312 is an apocalyptic number.

12012222312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977919140).

12012222312 is an abundant number, since it is smaller than the sum of its proper divisors (21943615968).

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

12012222312 is a wasteful number, since it uses less digits than its factorization.

12012222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76883 (or 76876 counting only the distinct ones).

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

Adding to 12012222312 its reverse (21322221021), we get a palindrome (33334443333).

The spelling of 12012222312 in words is "twelve billion, twelve million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 53 72 82 106 123 159 164 212 246 318 328 369 424 477 492 636 738 954 984 1272 1476 1908 2173 2952 3816 4346 6519 8692 13038 17384 19557 26076 39114 52152 76777 78228 153554 156456 230331 307108 460662 614216 690993 921324 1381986 1842648 2763972 3147857 4069181 5527944 6295714 8138362 9443571 12207543 12591428 16276724 18887142 24415086 25182856 28330713 32553448 36622629 37774284 48830172 56661426 73245258 75548568 97660344 113322852 146490516 166836421 226645704 292981032 333672842 500509263 667345684 1001018526 1334691368 1501527789 2002037052 3003055578 4004074104 6006111156 12012222312