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12120012102121 = 711163965661071
BaseRepresentation
bin1011000001011110100100…
…0001000001100111101001
31120220122212111000120021121
42300113221001001213221
53042033241044231441
641435505013535241
72360433125031040
oct260275101014751
946818774016247
1012120012102121
113953082955480
121438b33644521
1369bbb2253571
142dc87c795557
15160408eb6dd1
hexb05e90419e9

12120012102121 has 16 divisors (see below), whose sum is σ = 15203367917568. Its totient is φ = 9386225600400.

The previous prime is 12120012102109. The next prime is 12120012102131. The reversal of 12120012102121 is 12120121002121.

It is not a de Polignac number, because 12120012102121 - 217 = 12120011971049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12120012102095 and 12120012102104.

It is not an unprimeable number, because it can be changed into a prime (12120012102131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482817985 + ... + 482843086.

It is an arithmetic number, because the mean of its divisors is an integer number (950210494848).

Almost surely, 212120012102121 is an apocalyptic number.

12120012102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12120012102121 is a deficient number, since it is larger than the sum of its proper divisors (3083355815447).

12120012102121 is a wasteful number, since it uses less digits than its factorization.

12120012102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965661252.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12120012102121 its reverse (12120121002121), we get a palindrome (24240133104242).

The spelling of 12120012102121 in words is "twelve trillion, one hundred twenty billion, twelve million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 7 11 77 163 1141 1793 12551 965661071 6759627497 10622271781 74355902467 157402754573 1101819282011 1731430300303 12120012102121