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12120111000012 = 22319101395242961
BaseRepresentation
bin1011000001011110111011…
…1010010010100111001100
31120220200010101010002200110
42300113232322102213030
53042033441404000022
641435522505400020
72360435435453061
oct260275672224714
946820111102613
1012120111000012
113953123763974
121438b60799010
1369bbc989c522
142dc88b97ac68
15160412a0000c
hexb05eee929cc

12120111000012 has 48 divisors (see below), whose sum is σ = 29771635420800. Its totient is φ = 3827025250560.

The previous prime is 12120110999989. The next prime is 12120111000013. The reversal of 12120111000012 is 21000011102121.

It is a super-2 number, since 2×121201110000122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12120111000013) by changing a digit.

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, 309789 + ... + 4933172.

It is an arithmetic number, because the mean of its divisors is an integer number (620242404600).

Almost surely, 212120111000012 is an apocalyptic number.

12120111000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120111000012 is an abundant number, since it is smaller than the sum of its proper divisors (17651524420788).

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

12120111000012 is a wasteful number, since it uses less digits than its factorization.

12120111000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253126 (or 5253124 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12120111000012 its reverse (21000011102121), we get a palindrome (33120122102133).

The spelling of 12120111000012 in words is "twelve trillion, one hundred twenty billion, one hundred eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 10139 20278 30417 40556 60834 121668 192641 385282 577923 770564 1155846 2311692 5242961 10485922 15728883 20971844 31457766 62915532 99616259 199232518 298848777 398465036 597697554 1195395108 53158381579 106316763158 159475144737 212633526316 318950289474 637900578948 1010009250001 2020018500002 3030027750003 4040037000004 6060055500006 12120111000012