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20120012000001 = 329626923221981
BaseRepresentation
bin1001001001100100011100…
…01010110000101100000001
32122020110021020012210001200
410210302032022300230001
510114121241033000001
6110443001135451413
74144423440133464
oct444621612605401
978213236183050
1020120012000001
116457938278a11
12230b487386b69
13b2c402b100a4
144d7b570092db
1524d57ae0c086
hex124c8e2b0b01

20120012000001 has 12 divisors (see below), whose sum is σ = 29062542692820. Its totient is φ = 13413201423840.

The previous prime is 20120011999957. The next prime is 20120012000029. The reversal of 20120012000001 is 10000021002102.

It can be written as a sum of positive squares in 2 ways, for example, as 19841465549376 + 278546450625 = 4454376^2 + 527775^2 .

It is not a de Polignac number, because 20120012000001 - 213 = 20120011991809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20120012002001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10744570 + ... + 12477411.

It is an arithmetic number, because the mean of its divisors is an integer number (2421878557735).

Almost surely, 220120012000001 is an apocalyptic number.

It is an amenable number.

20120012000001 is a deficient number, since it is larger than the sum of its proper divisors (8942530692819).

20120012000001 is a wasteful number, since it uses less digits than its factorization.

20120012000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23318256 (or 23318253 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20120012000001 its reverse (10000021002102), we get a palindrome (30120033002103).

The spelling of 20120012000001 in words is "twenty trillion, one hundred twenty billion, twelve million, one", and thus it is an aban number.

Divisors: 1 3 9 96269 288807 866421 23221981 69665943 208997829 2235556888889 6706670666667 20120012000001