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12012110000020 = 22513281164414317
BaseRepresentation
bin1010111011001100100110…
…0011001010111110010100
31120112100100121011211210201
42232303021203022332110
53033301300130000040
641314142005230244
72346563166221014
oct256631143127624
946470317154721
1012012110000020
113911341a38089
12142003b402384
13691977589780
142d7564071c44
1515c6e116da9a
hexaecc98caf94

12012110000020 has 48 divisors (see below), whose sum is σ = 27262524553488. Its totient is φ = 4419456814080.

The previous prime is 12012109999997. The next prime is 12012110000041. The reversal of 12012110000020 is 2000001121021.

It can be written as a sum of positive squares in 8 ways, for example, as 175730316804 + 11836379683216 = 419202^2 + 3440404^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12012109999961 and 12012110000006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 82134099 + ... + 82280218.

It is an arithmetic number, because the mean of its divisors is an integer number (567969261531).

Almost surely, 212012110000020 is an apocalyptic number.

12012110000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012110000020 is an abundant number, since it is smaller than the sum of its proper divisors (15250414553468).

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

12012110000020 is a wasteful number, since it uses less digits than its factorization.

12012110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164414620 (or 164414618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12012110000020 its reverse (2000001121021), we get a palindrome (14012111121041).

The spelling of 12012110000020 in words is "twelve trillion, twelve billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 281 562 1124 1405 2810 3653 5620 7306 14612 18265 36530 73060 164414317 328828634 657657268 822071585 1644143170 2137386121 3288286340 4274772242 8549544484 10686930605 21373861210 42747722420 46200423077 92400846154 184801692308 231002115385 462004230770 600605500001 924008461540 1201211000002 2402422000004 3003027500005 6006055000010 12012110000020