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12122319 = 3112953239
BaseRepresentation
bin101110001111…
…100011001111
3211210212200210
4232033203033
511100403234
61111453503
7205016016
oct56174317
924725623
1012122319
11692a750
124087293
132685891
141877a7d
1510e6be9
hexb8f8cf

12122319 has 32 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 6930560.

The previous prime is 12122293. The next prime is 12122339. The reversal of 12122319 is 91322121.

It is a cyclic number.

It is not a de Polignac number, because 12122319 - 27 = 12122191 is a prime.

It is a super-2 number, since 2×121223192 = 293901235875522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122295 and 12122304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122339) 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, 50602 + ... + 50840.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 212122319 is an apocalyptic number.

12122319 is a deficient number, since it is larger than the sum of its proper divisors (6540081).

12122319 is a wasteful number, since it uses less digits than its factorization.

12122319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its digits is 216, while the sum is 21.

The square root of 12122319 is about 3481.7120788486. The cubic root of 12122319 is about 229.7181108631.

The spelling of 12122319 in words is "twelve million, one hundred twenty-two thousand, three hundred nineteen".

Divisors: 1 3 11 29 33 53 87 159 239 319 583 717 957 1537 1749 2629 4611 6931 7887 12667 16907 20793 38001 50721 76241 139337 228723 367343 418011 1102029 4040773 12122319