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12114214119 = 3577121819
BaseRepresentation
bin10110100100001000…
…00011110011100111
31011021021000211200000
423102010003303213
5144302214322434
65322025352343
7606126056340
oct132204036347
934237024600
1012114214119
115157181407
1224210386b3
1311b0a14047
1482cc6d0c7
154ad7d1b99
hex2d2103ce7

12114214119 has 24 divisors (see below), whose sum is σ = 20738739840. Its totient is φ = 6922407096.

The previous prime is 12114214027. The next prime is 12114214153. The reversal of 12114214119 is 91141241121.

12114214119 is a `hidden beast` number, since 121 + 1 + 421 + 4 + 119 = 666.

It is not a de Polignac number, because 12114214119 - 29 = 12114213607 is a prime.

It is a super-3 number, since 3×121142141193 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12114214092 and 12114214101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114214169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3559209 + ... + 3562610.

It is an arithmetic number, because the mean of its divisors is an integer number (864114160).

Almost surely, 212114214119 is an apocalyptic number.

12114214119 is a deficient number, since it is larger than the sum of its proper divisors (8624525721).

12114214119 is an frugal number, since it uses more digits than its factorization.

12114214119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121841 (or 7121829 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The spelling of 12114214119 in words is "twelve billion, one hundred fourteen million, two hundred fourteen thousand, one hundred nineteen".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 7121819 21365457 49852733 64096371 149558199 192289113 448674597 576867339 1346023791 1730602017 4038071373 12114214119