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12210121011199 = 31716727382463
BaseRepresentation
bin1011000110101110001111…
…1011001110111111111111
31121020021110022211102120111
42301223203323032333333
53100022311434324244
641545130244330451
72400103116103546
oct261534373167777
947207408742514
1012210121011199
113988312aa2571
1214524a09a3a27
136a75427b8487
14302d89d2315d
1516292eba7e34
hexb1ae3ecefff

12210121011199 has 16 divisors (see below), whose sum is σ = 12781861945344. Its totient is φ = 11649505694400.

The previous prime is 12210121011173. The next prime is 12210121011223. The reversal of 12210121011199 is 99111012101221.

It is a cyclic number.

It is not a de Polignac number, because 12210121011199 - 229 = 12209584140287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12210121011199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210121011149) 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, 148026642 + ... + 148109104.

It is an arithmetic number, because the mean of its divisors is an integer number (798866371584).

Almost surely, 212210121011199 is an apocalyptic number.

12210121011199 is a deficient number, since it is larger than the sum of its proper divisors (571740934145).

12210121011199 is an equidigital number, since it uses as much as digits as its factorization.

12210121011199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149838.

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 12210121011199 in words is "twelve trillion, two hundred ten billion, one hundred twenty-one million, eleven thousand, one hundred ninety-nine".

Divisors: 1 31 71 2201 67273 82463 2085463 2556353 4776383 5854873 148067873 181501063 5547533399 171973535369 393874871329 12210121011199