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12120101001001 = 7234714173113011
BaseRepresentation
bin1011000001011110111001…
…0100001001011100101001
31120220200002200022002121201
42300113232110021130221
53042033431324013001
641435521511204201
72360435254456330
oct260275624113451
946820080262551
1012120101001001
113953119054524
121438b59376661
1369bbc77ab256
142dc88a4d6d17
15160411bc7501
hexb05ee509729

12120101001001 has 32 divisors (see below), whose sum is σ = 14762484523008. Its totient is φ = 9724779915840.

The previous prime is 12120101000981. The next prime is 12120101001013. The reversal of 12120101001001 is 10010010102121.

It is not a de Polignac number, because 12120101001001 - 27 = 12120101000873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12120101001031) 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, 107190586 + ... + 107303596.

It is an arithmetic number, because the mean of its divisors is an integer number (461327641344).

Almost surely, 212120101001001 is an apocalyptic number.

It is an amenable number.

12120101001001 is a deficient number, since it is larger than the sum of its proper divisors (2642383522007).

12120101001001 is a wasteful number, since it uses less digits than its factorization.

12120101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127261.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12120101001001 its reverse (10010010102121), we get a palindrome (22130111103122).

The spelling of 12120101001001 in words is "twelve trillion, one hundred twenty billion, one hundred one million, one thousand, one".

Divisors: 1 7 23 47 161 329 1081 7567 14173 99211 113011 325979 666131 791077 2281853 2599253 4662917 5311517 15321013 18194771 37180619 107247091 122164891 855154237 1601704903 11211934321 36839212769 75280130441 257874489383 526960913087 1731443000143 12120101001001