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12344334122412 = 2232342898170067
BaseRepresentation
bin1011001110100010001110…
…1001100111110110101100
31121201002212212110220021100
42303220203221213312230
53104222144013404122
642130524145203100
72412564051530145
oct263504351476654
947632785426240
1012344334122412
113a2a225883496
1214744b8630490
136b70b14a9706
1430967cb78acc
1516618783aaac
hexb3a23a67dac

12344334122412 has 18 divisors (see below), whose sum is σ = 31203733476188. Its totient is φ = 4114778040792.

The previous prime is 12344334122401. The next prime is 12344334122441. The reversal of 12344334122412 is 21422143344321.

12344334122412 is a `hidden beast` number, since 1 + 2 + 34 + 43 + 341 + 2 + 241 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 342898170067 = 12344334122412 / (1 + 2 + 3 + 4 + 4 + 3 + 3 + 4 + 1 + 2 + 2 + 4 + 1 + 2).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171449084998 + ... + 171449085069.

Almost surely, 212344334122412 is an apocalyptic number.

12344334122412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12344334122412 is an abundant number, since it is smaller than the sum of its proper divisors (18859399353776).

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

12344334122412 is a wasteful number, since it uses less digits than its factorization.

12344334122412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342898170077 (or 342898170072 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 12344334122412 its reverse (21422143344321), we get a palindrome (33766477466733).

The spelling of 12344334122412 in words is "twelve trillion, three hundred forty-four billion, three hundred thirty-four million, one hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 342898170067 685796340134 1028694510201 1371592680268 2057389020402 3086083530603 4114778040804 6172167061206 12344334122412