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12111330120021 = 3311263155052811
BaseRepresentation
bin1011000000111110001110…
…0001111001000101010101
31120212211110102100011211000
42300033203201321011111
53041413001002320041
641431511312533513
72360005023301626
oct260174341710525
946784412304730
1012111330120021
11394a428124860
12143730bb51299
1369b12a63c252
142dc2976c3a4d
1516009bba7bb6
hexb03e3879155

12111330120021 has 32 divisors (see below), whose sum is σ = 19648292336640. Its totient is φ = 7312290519600.

The previous prime is 12111330119989. The next prime is 12111330120053. The reversal of 12111330120021 is 12002103311121.

12111330120021 is a `hidden beast` number, since 1 + 2 + 111 + 330 + 1 + 200 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (12111330119989) and next prime (12111330120053).

It is not a de Polignac number, because 12111330120021 - 25 = 12111330119989 is a prime.

It is a super-3 number, since 3×121113301200213 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12111330119976 and 12111330120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111330120521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77448295 + ... + 77604516.

It is an arithmetic number, because the mean of its divisors is an integer number (614009135520).

Almost surely, 212111330120021 is an apocalyptic number.

12111330120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111330120021 is a deficient number, since it is larger than the sum of its proper divisors (7536962216619).

12111330120021 is a wasteful number, since it uses less digits than its factorization.

12111330120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155053094 (or 155053088 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12111330120021 its reverse (12002103311121), we get a palindrome (24113433431142).

The spelling of 12111330120021 in words is "twelve trillion, one hundred eleven billion, three hundred thirty million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 11 27 33 99 263 297 789 2367 2893 7101 8679 26037 78111 155052811 465158433 1395475299 1705580921 4186425897 5116742763 15350228289 40778889293 46050684867 122336667879 367010003637 448567782223 1101030010911 1345703346669 4037110040007 12111330120021