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12210122121119 = 1311322393712309
BaseRepresentation
bin1011000110101110001111…
…1111011101111110011111
31121020021110101220211002122
42301223203333131332133
53100022312230333434
641545130324213155
72400103131405506
oct261534377357637
947207411824078
1012210122121119
11398831369045a
1214524a123a1bb
136a7542ab6730
14302d8a13183d
1516292ed26c2e
hexb1ae3fddf9f

12210122121119 has 16 divisors (see below), whose sum is σ = 13271656742400. Its totient is φ = 11166147288576.

The previous prime is 12210122121089. The next prime is 12210122121143. The reversal of 12210122121119 is 91112122101221.

It is a cyclic number.

It is not a de Polignac number, because 12210122121119 - 28 = 12210122120863 is a prime.

It is a super-2 number, since 2×122101221211192 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210122121179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1432937 + ... + 5145245.

It is an arithmetic number, because the mean of its divisors is an integer number (829478546400).

Almost surely, 212210122121119 is an apocalyptic number.

12210122121119 is a deficient number, since it is larger than the sum of its proper divisors (1061534621281).

12210122121119 is a wasteful number, since it uses less digits than its factorization.

12210122121119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714674.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 12210122121119 in words is "twelve trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred nineteen".

Divisors: 1 13 113 1469 2239 29107 253007 3289091 3712309 48260017 419490917 5453381921 8311859851 108054178063 939240163163 12210122121119