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12002120105 = 517883159911
BaseRepresentation
bin10110010110110000…
…11101000110101001
31010222110002212120212
423023120131012221
5144040020320410
65302543030505
7603265223543
oct131330350651
933873085525
1012002120105
1150a997a528
1223ab59b435
131193727821
1481c010693
154a3a3db05
hex2cb61d1a9

12002120105 has 16 divisors (see below), whose sum is σ = 15267118464. Its totient is φ = 9026599680.

The previous prime is 12002120093. The next prime is 12002120111. The reversal of 12002120105 is 50102120021.

12002120105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002120105 - 26 = 12002120041 is a prime.

It is a super-2 number, since 2×120021201052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12002120105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4901 + ... + 155010.

It is an arithmetic number, because the mean of its divisors is an integer number (954194904).

Almost surely, 212002120105 is an apocalyptic number.

It is an amenable number.

12002120105 is a deficient number, since it is larger than the sum of its proper divisors (3264998359).

12002120105 is a wasteful number, since it uses less digits than its factorization.

12002120105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160816.

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 12002120105 its reverse (50102120021), we get a palindrome (62104240126).

The spelling of 12002120105 in words is "twelve billion, two million, one hundred twenty thousand, one hundred five".

Divisors: 1 5 17 85 883 4415 15011 75055 159911 799555 2718487 13592435 141201413 706007065 2400424021 12002120105