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12122010012 = 2237151955693
BaseRepresentation
bin10110100101000011…
…10011000110011100
31011021210200220121210
423102201303012130
5144311213310022
65322504424420
7606252246030
oct132241630634
934253626553
1012122010012
1151606165a2
122423778110
1311b25135b8
1482dcdc1c0
154ae321a0c
hex2d287319c

12122010012 has 48 divisors (see below), whose sum is σ = 32539469312. Its totient is φ = 3440491200.

The previous prime is 12122009989. The next prime is 12122010071. The reversal of 12122010012 is 21001022121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12122010012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465163 + ... + 490530.

Almost surely, 212122010012 is an apocalyptic number.

12122010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122010012 is an abundant number, since it is smaller than the sum of its proper divisors (20417459300).

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

12122010012 is a wasteful number, since it uses less digits than its factorization.

12122010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955858 (or 955856 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Subtracting from 12122010012 its sum of digits (12), we obtain a square (12122010000 = 1101002).

Adding to 12122010012 its reverse (21001022121), we get a palindrome (33123032133).

The spelling of 12122010012 in words is "twelve billion, one hundred twenty-two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1812 2114 3171 4228 6342 12684 955693 1911386 2867079 3822772 5734158 6689851 11468316 13379702 20069553 26759404 40139106 80278212 144309643 288619286 432928929 577238572 865857858 1010167501 1731715716 2020335002 3030502503 4040670004 6061005006 12122010012