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123130313122212 = 223211228266830377
BaseRepresentation
bin11011111111110010000010…
…100100110010000110100100
3121010222010212020011210221100
4123333302002210302012210
5112114331340124402322
61113513141314520100
734635604641540324
oct3377620244620644
9533863766153840
10123130313122212
11362622aa836400
1211987590896030
1353921a5974bc6
142259778c5d284
15e37d7e45edac
hex6ffc829321a4

123130313122212 has 54 divisors (see below), whose sum is σ = 342113448064934. Its totient is φ = 37312216096320.

The previous prime is 123130313122151. The next prime is 123130313122247. The reversal of 123130313122212 is 212221313031321.

123130313122212 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 303 + 131 + 2 + 221 + 2 = 666.

123130313122212 is digitally balanced in base 3, 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 only one way, i.e., 97421519214756 + 25708793907456 = 9870234^2 + 5070384^2 .

It is a super-2 number, since 2×1231303131222122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 14133410833 + ... + 14133419544.

Almost surely, 2123130313122212 is an apocalyptic number.

123130313122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123130313122212 is an abundant number, since it is smaller than the sum of its proper divisors (218983134942722).

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

123130313122212 is a wasteful number, since it uses less digits than its factorization.

123130313122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28266830409 (or 28266830393 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123130313122212 its reverse (212221313031321), we get a palindrome (335351626153533).

The spelling of 123130313122212 in words is "one hundred twenty-three trillion, one hundred thirty billion, three hundred thirteen million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 28266830377 56533660754 84800491131 113067321508 169600982262 254401473393 310935134147 339201964524 508802946786 621870268294 932805402441 1017605893572 1243740536588 1865610804882 2798416207323 3420286475617 3731221609764 5596832414646 6840572951234 10260859426851 11193664829292 13681145902468 20521718853702 30782578280553 41043437707404 61565156561106 123130313122212