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12122012 = 2272232689
BaseRepresentation
bin101110001111…
…011110011100
3211210212021102
4232033132130
511100401022
61111452232
7205015100
oct56173634
924725242
1012122012
11692a4a1
124087078
1326856b6
141877900
1510e6a92
hexb8f79c

12122012 has 36 divisors (see below), whose sum is σ = 25759440. Its totient is φ = 4967424.

The previous prime is 12122009. The next prime is 12122021. The reversal of 12122012 is 21022121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12121984 and 12122002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3164 + ... + 5852.

It is an arithmetic number, because the mean of its divisors is an integer number (715540).

Almost surely, 212122012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12879720).

12122012 is an abundant number, since it is smaller than the sum of its proper divisors (13637428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122012 is a wasteful number, since it uses less digits than its factorization.

12122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 12122012 is about 3481.6679910641. The cubic root of 12122012 is about 229.7161716287.

Adding to 12122012 its reverse (21022121), we get a palindrome (33144133).

The spelling of 12122012 in words is "twelve million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1127 2254 2689 4508 5378 10756 18823 37646 61847 75292 123694 131761 247388 263522 432929 527044 865858 1731716 3030503 6061006 12122012