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12107066070121 = 1131229875317713
BaseRepresentation
bin1011000000101110010101…
…0111110101010001101001
31120212102110020202222222221
42300023211113311101221
53041330232403220441
641425524231314041
72356464245415361
oct260134527652151
946772406688887
1012107066070121
11394863a190a80
12143651bb1b921
1369a8cb0c90b9
142dbdb12779a1
1515edec6758d1
hexb02e55f5469

12107066070121 has 32 divisors (see below), whose sum is σ = 13695637201920. Its totient is φ = 10603055001600.

The previous prime is 12107066070119. The next prime is 12107066070191.

12107066070121 is nontrivially palindromic in base 10.

12107066070121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12107066070121 - 21 = 12107066070119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12107066070101) 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, 683504161 + ... + 683521873.

It is an arithmetic number, because the mean of its divisors is an integer number (427988662560).

Almost surely, 212107066070121 is an apocalyptic number.

12107066070121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12107066070121 is a deficient number, since it is larger than the sum of its proper divisors (1588571131799).

12107066070121 is a wasteful number, since it uses less digits than its factorization.

12107066070121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26737.

The product of its (nonzero) digits is 7056, while the sum is 34.

It can be divided in two parts, 1210706 and 6070121, that added together give a palindrome (7280827).

The spelling of 12107066070121 in words is "twelve trillion, one hundred seven billion, sixty-six million, seventy thousand, one hundred twenty-one".

Divisors: 1 11 31 229 341 2519 7099 8753 17713 78089 96283 194843 271343 549103 2004437 2984773 4056277 6040133 22048807 44619047 62137547 125744587 155041889 683513017 1383190457 1705460779 4806298559 35504592581 52869284149 390550518391 1100642370011 12107066070121