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12109419 = 3772113
BaseRepresentation
bin101110001100…
…011001101011
3211210020000000
4232030121223
511100000134
61111314043
7204633300
oct56143153
924706000
1012109419
116920a93
12407b923
13267ca4a
1418730a7
1510e2e99
hexb8c66b

12109419 has 48 divisors (see below), whose sum is σ = 21313440. Its totient is φ = 6858432.

The previous prime is 12109417. The next prime is 12109463. The reversal of 12109419 is 91490121.

It is not a de Polignac number, because 12109419 - 21 = 12109417 is a prime.

It is a super-2 number, since 2×121094192 = 293276057035122, which contains 22 as substring.

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 = 12109392 and 12109401.

It is not an unprimeable number, because it can be changed into a prime (12109411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107107 + ... + 107219.

It is an arithmetic number, because the mean of its divisors is an integer number (444030).

Almost surely, 212109419 is an apocalyptic number.

12109419 is a deficient number, since it is larger than the sum of its proper divisors (9204021).

12109419 is an frugal number, since it uses more digits than its factorization.

12109419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 12109419 is about 3479.8590488697. The cubic root of 12109419 is about 229.6365968830.

The spelling of 12109419 in words is "twelve million, one hundred nine thousand, four hundred nineteen".

Divisors: 1 3 7 9 21 27 49 63 81 113 147 189 243 339 441 567 729 791 1017 1323 1701 2187 2373 3051 3969 5103 5537 7119 9153 11907 15309 16611 21357 27459 35721 49833 64071 82377 107163 149499 192213 247131 448497 576639 1345491 1729917 4036473 12109419